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T.S. Kelso Profile
T.S. Kelso

@TSKelso

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Operator of CelesTrak, the world's first source for orbital element sets and related software and educational materials.

Wailuku, HI, USA
Joined April 2009
Don't wanna be here? Send us removal request.
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@TSKelso
T.S. Kelso
5 months
In case you missed it, 18 SDS just assigned NORAD Catalog Number 60011. As a reminder, we run out of 5-digit catalog numbers at 70000. CelesTrak will not be supporting Alpha-5, since all standards show these as integers. See to prepare now.
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@TSKelso
T.S. Kelso
3 years
CelesTrak just added a fully interactive view of the Long March-5B reentry with corridors that more accurately reflect how this event evolves and where reentry can reasonably be expected to be seen (based on @18SPCS data): .
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@TSKelso
T.S. Kelso
4 years
. @SpaceX continues to responsibly de-orbit #Starlink satellites once they have completed their mission. We are seeing 42 Starlink satellites decayed from orbit over the past 60 days.
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@TSKelso
T.S. Kelso
4 years
We now have 230 pieces of cataloged debris from the 2020 May 8 Fregat fragmentation event. The debris has spread all over LEO due to differential precession. Yet one more reason not to leave upper stages in orbit after they have completed their mission: .
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@TSKelso
T.S. Kelso
5 years
45 days after the Indian ASAT test, 29 of 93 objects we have TLEs for have decayed, with another 5 likely reentered. With 59 still in orbit, that hardly supports India’s claim that everything would reenter in 45 days. And these are only the objects large enough to track.
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@TSKelso
T.S. Kelso
3 years
. @SpaceX has just posted an update (Feb 8) describing the current status of the satellites associated with the Group 4-7 launch of Feb 3 as a result of a recent geomagnetic storm:
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@TSKelso
T.S. Kelso
5 years
1/3 If you’ve been wondering why you can’t see the new #Starlink satellites in the Northern Hemisphere right now, here’s why. This shows the areas on the Earth where STARLINK-1194 is visible—more than 10 deg above the horizon, Sun below -6 deg, & satellite in sunlight--each day.
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@TSKelso
T.S. Kelso
2 years
We are excited to announce that @CelesTrak is now a 501(c)(3) non-profit! If you have been asking how you can help, here's your chance! Please go to to see how you can help us extend CelesTrak’s 36-year legacy!
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@TSKelso
T.S. Kelso
3 years
As I prepare to retire July 1 and devote my attention to CelesTrak, I thought I'd put together a brief history of the past 35+ years, starting with how the name and brand came to be. I hope you find it interesting!
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@TSKelso
T.S. Kelso
4 years
Interesting view of the #Transporter1 deployments in real time in CelesTrak’s Orbit Viz!
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@TSKelso
T.S. Kelso
4 years
The Russian LUCH (OLYMP) satellite has inserted itself in a particularly busy stretch of the GEO belt at 1.1W. This type of uncoordinated behavior puts the entire GEO belt at risk, especially if a collision were to occur with a highly inclined object like SKYNET 4E.
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@TSKelso
T.S. Kelso
5 years
CelesTrak now has 8 more TLEs from the Indian ASAT test, bringing the total cataloged to 101 pieces (including the original). Of these, only 52 have decayed so far, 98 days after the test was conducted.
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@TSKelso
T.S. Kelso
9 months
UPDATE #3 : Third launch attempt does not align with any of our backup launch opportunities. I have asked @SpaceX for an update and will post as soon as it is available.
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@TSKelso
T.S. Kelso
11 months
I could not be more honored and humbled than to have been selected by SpaceNews for this year’s Space Stewardship award. What a privilege! And thanks to all of you who have helped me along the way and challenge me to find ways to do even more.
@SpaceNews_Inc
SpaceNews
11 months
The 2023 SpaceNews Icon Awards: Winners
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@TSKelso
T.S. Kelso
5 years
Finally met my great colleague @planet4589 ! About time!
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@TSKelso
T.S. Kelso
3 years
CelesTrak has started a data set for today's Russian ASAT test against COSMOS 1408. I thought we had learned not to intentionally create debris on orbit, but this absolutely irresponsible action by Russia shows otherwise. This has to stop. NOW.
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@TSKelso
T.S. Kelso
6 years
Lest anyone think IS-29E is our only threat in GEO today, here is a view of everything tracked in that region of the GEO Protected Zone. Green are operational satellites, orange are dead ones, red are rocket bodies, yellow are other debris:
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@TSKelso
T.S. Kelso
5 years
1/3 I have been cleared by @SpaceX to release pre-launch SupTLEs for the next #Starlink launch opportunity on 2020-01-27 at 14:49 UTC. Per their request, I am referring to this as Starlink-4. Deployment is planned for 2020-01-27 15:51:50.766 UTC.
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@TSKelso
T.S. Kelso
5 years
CelesTrak now has TLEs for 48 objects from the SpaceX Starlink launch. Here’s what that looks like right now (0046 UTC on May 27): . OBJECT P is the leader at this point.
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@TSKelso
T.S. Kelso
2 years
CelesTrak has pre-launch SupGP data for the #Starlink Group 6-1 launch set for 2023-02-26 between 18:36:30 UTC and 19:15:00 UTC. Deployment of 21 Gen 2 satellites is set for 64.8 minutes after launch (19:41:15.660 UTC). Data can be found at: .
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@TSKelso
T.S. Kelso
3 years
Just a short clip of how the 2 space stations' (big green dots) orbits interact with the orbits of COSMOS 1408 (orange) and the 185 pieces of known debris (red) generated by the Russian ASAT test on Nov 15, over one rev.
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@TSKelso
T.S. Kelso
5 years
We now have SupTLEs for all but 2 of the latest Starlink satellites: . Wonderful to have this data so quickly! Screenshots show where the cluster is and how tightly packed the objects currently are.
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@TSKelso
T.S. Kelso
4 years
This seemed to be appropriate attire for working today's launch!
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@TSKelso
T.S. Kelso
5 years
Food for thought: These Starlink satellites have 14 of the oldest 19 TLEs for active satellites. If 18 SPCS doesn’t know where they are for the past 5-14 days, satellite operators in this orbital regime probably don’t, either, which presents a serious threat to safety of flight.
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@TSKelso
T.S. Kelso
4 years
CelesTrak is already generating SupTLEs for individual #Starlink satellites from today’s launch, using @SpaceX ephemeris. As can be seen here, the 1 VisorSat is STARLINK-1436 (as identified by @SpaceX ).
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@TSKelso
T.S. Kelso
4 years
The #Starlink V1.0-20 launch for Mar 10 at 0300 UTC was scrubbed. CelesTrak has updated pre-launch SupTLEs for the new launch time on Mar 11 at 0813 UTC and a deployment time of 09:18:02.320 UTC: .
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@TSKelso
T.S. Kelso
4 years
For those looking to see the latest #Starlink satellites, note that they are still spaced quite closely together, as see from this view using the latest SupTLEs from CelesTrak. This makes for an amazing view!
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@TSKelso
T.S. Kelso
5 years
1/9 We've been crunching for weeks to make pass visualization as easy as orbit visualization on CelesTrak and are finally ready to unveil the beta version of this new capability to support #Starlink . I think you'll find it amazing!
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@TSKelso
T.S. Kelso
7 years
For those of you wondering why I was off the grid the past couple of weeks, I wanted to share this time-lapse of the eclipse...
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@TSKelso
T.S. Kelso
5 years
BIG thanks to @SpaceX for allowing us to use their #Starlink ephemerides (for both launches) posted on Space Track to create supplemental TLEs for CelesTrak users! You can find them at: .
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@TSKelso
T.S. Kelso
6 years
SOCRATES shows 95 conjunctions within 5 km with MICROSAT-R debris:
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@TSKelso
T.S. Kelso
3 years
It appears CZ-5B R/B came down on the last rev. We are awaiting confirmation of time and location.
@Skitt0608
MotherOfAllLaunches
3 years
Spoke with the team. We have indications the 🚀 is down. Once they get radar confirmation of nothing in orbit (after 0300UTC) they will release the final message with time. Y’all can stop hiding in your bunkers. @SpaceTrackOrg
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@TSKelso
T.S. Kelso
3 years
1/2 It has been the honor of a lifetime to have the opportunity to play such a key role in the development of what we now call STM, particularly working with so many great people who are also passionate about safety of flight and protecting the space environment.
@AGItweets
Ansys Government Initiatives (AGI)
3 years
On behalf of your ohana at AGI, congratulations on your retirement, @TSKelso ! Thank you for your outstanding service to the 🛰️aerospace community. We are happy to follow your continued expert analysis and tracking through #CelesTrak .
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@TSKelso
T.S. Kelso
6 years
Okay, we now have a permanent link for the data on the Current Data page () shown as Indian ASAT Test Debris. There is also an interactive table showing apogee/perigee. There are currently 46 pieces of debris with apogee above the ISS.
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@TSKelso
T.S. Kelso
3 years
1/3 It appears the US has decided to remove TLE data for objects like USA 253/254/270/271/283, which operate in GEO, from the public catalog.
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@TSKelso
T.S. Kelso
3 years
CelesTrak is now back online. Most everything is rebuilt after a major hardware failure and significant file corruption. Special Data Requests are still offline pending data restoration. LMK if you see any problems and thanks for your patience! Off to bed!
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@TSKelso
T.S. Kelso
6 years
1/ I am very excited to finally release a new feature on CelesTrak that I think you are all going to love! Together with our partners at Digital Arsenal, we have been working hard for months to provide interactive orbit visualization that is literally one click away.
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@TSKelso
T.S. Kelso
3 years
If you're a software developer still using 5-digit catalog numbers, you might note that we're already at 50983. With 105+ objects launched today, we have already used 5.4% of what's left since hitting 50000 on Dec 13--just one month ago. At this rate, you're running out of time.
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@TSKelso
T.S. Kelso
4 years
If you are looking to calculate visibility for today's #Starlink launch, CelesTrak has a Pass Viz tool with a link right next to the SupTLEs. Just choose Use Current Position when it loads and then click Visible Only to see any passes: .
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@TSKelso
T.S. Kelso
5 years
After what marks the last expected launch of 2019, it looks like we’ve had another busy year, with 97 total launches of 434 satellites. The view of the past 30 days’ launches—with 17 of those launches—seems to have been especially busy:
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@TSKelso
T.S. Kelso
5 years
No IDs yet for any of 60 Starlink satellites, launched May 24. And 9 have TLEs more than 5 days old. We also have no IDs for 7 objects from the Chinese sea launch from June 5, or even the 3 Radarsat Constellation Mission satellites, launched June 12. We need some data sharing!
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@TSKelso
T.S. Kelso
2 years
. @planet has successfully de-orbited 71 of their FLOCK satellites in the past 60 days--more than one per day: . We need more operators following their lead to remove satellites after they've completed their mission.
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@TSKelso
T.S. Kelso
6 years
1/With 112 launches, 2018 saw the most launches since 1990. While 1984 still holds the record with 129 launches, that was for 170 payloads, compared to 413 for 2018--an all-time record. That does not include another 25 payloads deployed from the ISS.
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@TSKelso
T.S. Kelso
5 years
We could probably ID all Starlink satellites quickly (at least those with current TLEs) if @SpaceX followed the lead of @planetlabs in providing supplemental TLEs (operator-generated) or ephemerides to the public. If anyone knows of an online source, please LMK!
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@TSKelso
T.S. Kelso
4 years
CelesTrak is moving to a new server Friday, 2020 May 8, at ~1600 UTC. The move should provide much better bandwidth and improved overall performance.
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@TSKelso
T.S. Kelso
3 years
CelesTrak has pre-launch SupTLEs for #Starlink Group 4-4, which is set to launch 2021-12-17 09:46:20 UTC on a Falcon 9 rocket from Vandenberg AFB, California. Deployment of 52 satellites occurs just over 15 minutes later at 10:01:56.540 UTC: .
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@TSKelso
T.S. Kelso
4 years
Here is the view from the side.
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@TSKelso
T.S. Kelso
5 years
That was ABSOLUTELY AMAZING! Just watched the Starlink train as it passed over Maui. With thin clouds and just past civil twilight, they were barely visible to the naked eye but easily seen in binoculars. Tenth object very bright. Right where they were expected to be.
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@TSKelso
T.S. Kelso
3 years
3/3 These actions are a step backwards for transparency in the interest of safety of flight.
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@TSKelso
T.S. Kelso
2 years
CelesTrak has pre-launch SupGP data for the #Starlink Group 5-1 launch from Cape Canaveral on 2022-12-28 at 09:40:10 UTC. Deployment of 54 satellites is set for 2022-12-28 at 09:59:01.940 UTC: . Data is available at: .
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@TSKelso
T.S. Kelso
5 years
A full week after the launch of 34 @OneWeb satellites, we still have no TLE data for any of them. Meanwhile, thanks to @SpaceX , we have pre-launch SupTLEs in place for #Starlink -5 and are set to automatically produce SupTLEs for all 60 satellites within hours of deployment.
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@TSKelso
T.S. Kelso
4 years
We need better ways to identify and track things launched into orbit. There are currently 171 unidentified objects in Earth orbit from the past 5 years--5 of those deployed from the ISS. And there are 21 payloads & 15 rocket bodies on the Lost List. We can do better.
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@TSKelso
T.S. Kelso
5 months
. @SpaceX 's plan to deorbit 100 older Starlink satellites is well underway with 42 of those reentering in the past 60 days: .
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@SpaceNews_Inc
SpaceNews
8 months
SpaceX to deorbit 100 older Starlink satellites
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@TSKelso
T.S. Kelso
3 years
1/5 CelesTrak has completed the transition of the Current Data page from only supporting legacy TLE formats to supporting all GP formats. The default is still TLE format, but when you are ready to use one of the new formats, we've got your back: .
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@TSKelso
T.S. Kelso
5 years
CelesTrak now has TLEs for 3 objects from the SpaceX Starlink launch (2019-029). I’ve added those to the previous links () so you can see how they compare to TLE from @cgbassa (TRAIN A) & @Marco_Langbroek (TRAIN B) at current time (2025 UTC). Progress!
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@TSKelso
T.S. Kelso
4 years
Wondering how we are going to handle data requiring catalog numbers beyond the current 5-digit format in TLEs? Be sure to check out the article "A New Way to Obtain GP Data (aka TLEs)": .
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@TSKelso
T.S. Kelso
3 years
China reports reentry of the Long March-5B rocket body that launched TIANHE at 0224 UTC over the Maldives. @18SPCS reports reentry at 0214 UTC at the same location. Here is what the latest TLE from 18 SPCS showed at 0224 UTC (over the Maldives) on the CelesTrak visualization.
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@TSKelso
T.S. Kelso
5 years
It appears LUCH (OLYMP) is once again making things difficult for Intelsat, by performing uninvited ‘prox ops’ with IS-20 & IS-36. We need to work together to ensure these types of situations don’t result in unanticipated behavior that adversely impacts safety of flight.
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@TSKelso
T.S. Kelso
5 years
Updated TLEs for Starlink (). STARLINK A is from @cgbassa and STARLINK B is new from @Marco_Langbroek . Orbit visualization () shows good agreement, as expected. Will continue to update as more data becomes available.
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@TSKelso
T.S. Kelso
3 years
Finally completed long overdue overhaul of CelesTrak's EOP & space weather data, as discussed in 2013 paper. Space weather now relies on primary sources (to eliminate irregularities) and both data types now have CSV versions: .
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@TSKelso
T.S. Kelso
3 years
My experiment taking a time-lapse of the total lunar eclipse from Maui using the iPhone 12 Pro Max. The lens flare (blue) gives a good sense of overall progress. Mid-totality occurs as the Moon moves out of frame and the clouds roll in.
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@TSKelso
T.S. Kelso
5 years
CelesTrak has TLEs for 8 more pieces of debris from the Indian ASAT test, bringing the total to 93 objects—22 of which have decayed to date. That still leaves 71 pieces in orbit—37 days after the test.
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@TSKelso
T.S. Kelso
2 years
We have been informed by @SpaceX that the #Starlink Group 4-29 launch is now set for 10-04 at 23:48:10 UTC with deployment on 2022-10-05 at 00:50:41.520 UTC. Pre-launch SupGP data on CelesTrak has been updated to reflect this change.
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@TSKelso
T.S. Kelso
6 years
2018 Year in Review. 2018 has been an interesting year for Space Situational Awareness (SSA). Here are some of the highs and lows for the year.
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@TSKelso
T.S. Kelso
3 years
Just received clarification from @SpaceX that there are only 52 #Starlink satellites and 2 rideshares on this launch.
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@TSKelso
T.S. Kelso
6 years
I’m off to the Cubesat Workshop at Cal Poly this week with the hope of finding others who can help us improve our ability to track and ID newly launched objects. Seems we have lots of examples of how we could do this better.
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@TSKelso
T.S. Kelso
5 years
We need to find a way to work together to better ID objects in orbit. As of today, we show 118 (125 on @SpaceTrackOrg ) unidentified objects—44 from 2019 alone. Jeopardizes safety of flight when you don’t know what you’re conducting with, who it belongs to, or if it can maneuver.
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@TSKelso
T.S. Kelso
5 years
Just hanging with a few of my favorite space peeps! #IAC2019
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@TSKelso
T.S. Kelso
3 years
1/Catalog Number 49999 was just added to the SATCAT. We have 20,000 to go before we run out of 5-digit ones (at 70000). It took 7.4 years to go from 30000 (2007-02-02) to 40000 (2014-06-14), as a result of the Chinese ASAT test and Iridium-Cosmos collision.
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@TSKelso
T.S. Kelso
11 months
CelesTrak has GP data for 2 objects from the launch (2023-179) of Wangli-1 atop a Chollima-1 rocket from Sohae Satellite Launching Station on Nov 22 at 1342 UTC: . Data for the launch can be found at: .
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@TSKelso
T.S. Kelso
6 years
After many requests, I created a TLE list of all active satellites. Automatically updates with other TLEs, with link on Current Data page (). Now you can get all active satellites with a single download.
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@TSKelso
T.S. Kelso
10 months
1/ CelesTrak is continuing to deprecate the use of the legacy static TLE text files, in no small part to limit abuse by a growing number of users who download files—which are only updated every 2 hours—hundreds or even thousands of times a day.
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@TSKelso
T.S. Kelso
6 years
Watched nervously this morning as IS-29E & TDRS 3 had what we consider a ‘nightmare scenario’ in GEO—a high-speed encounter (~1 km/s). Let’s wish Intelsat luck on getting IS-29E back under control.
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@TSKelso
T.S. Kelso
2 years
CelesTrak has pre-launch SupGP data for 36 objects in the initial deployments of the #Transporter -7 mission, set to launch from Vandenberg SFB on 2023-04-11 at 06:48:25.990 UTC. Deployments will occur from 07:49:31.010 UTC to 09:23:43.870 UTC.
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@TSKelso
T.S. Kelso
5 years
@fiszix @18SPCS Okay, I got creative & used the TLE from provided by @cgbassa so you can go to to see where the Starlink satellites should be. We’re working on adding looking up for our next major feature release.
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@TSKelso
T.S. Kelso
5 years
CelesTrak’s new orbit visualization is now live! Check it out!
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@TSKelso
T.S. Kelso
6 years
I’ll just say it: I’m very concerned about what I’m hearing for the deployment process for 70+ satellites on the upcoming SSO-A launch on Nov 19. Recommend all passengers read this paper to get prepared for what’s ahead:
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@TSKelso
T.S. Kelso
5 years
3/3 These visibility seasons are why you can see the ISS for a week or two and then it isn't visible for another week or two. I find it fascinating how the seasons evolve for different types of orbits. I hope you do, too. [Images generated with #STK Coverage]
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@TSKelso
T.S. Kelso
3 years
Confirmation of launch of Razbeg reconnaissance satellite on a Soyuz-2.1v rocket from Plesetsk Cosmodrome on Sep 9 at 1959 UTC: .
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@TSKelso
T.S. Kelso
3 years
CelesTrak has TLEs for 2 objects from what appears to be a launch (2021-081) from Plesetsk Cosmodrome on Sep 9 at 2005 UTC. Cannot find any open-source confirmation at this time.
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@TSKelso
T.S. Kelso
9 months
UPDATE #2 : After a brief hold at T-0:59, the clock has restarted and it appears SpaceX is targeting the first backup launch opportunity at 2024-01-20 02:27:40 UTC.
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T.S. Kelso
3 years
2/2 I am deeply grateful to @AGItweets and @COMSPOC for all of their support while I was on this part of my journey. I am looking forward to being able to devote my full attention to enhancing the services provided on CelesTrak--stay tuned!
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T.S. Kelso
5 years
1/5 Using a pre-launch state vector provided by SpaceX, we used STK's HPOP to propagate the orbit and fit Supplemental TLEs (SupTLEs) for the first 8 hours following deployment. Data can be found at .
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@TSKelso
T.S. Kelso
4 years
It appears that COSMOS 2473, launched 2011-09-20, may have failed around the end of June and is now drifting uncontrolled in GEO.
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@TSKelso
T.S. Kelso
5 years
If you’ve been monitoring the IS-901/MEV-1 docking & wondered where MEV-1 went, the latest TLE now shows it docked to the ISS (not IS-901). Obviously an administrative issue that we hope @18SPCS will sort out soon.
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@TSKelso
T.S. Kelso
5 years
And now CelesTrak has TLEs for 64 objects from the Starlink launch, which should be everything. Nice job @SpaceX and @18SPCS ! Now we just need to ID all of them! Here’s the view of the train on it current pass over Europe (0222 UTC):
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@TSKelso
T.S. Kelso
2 years
A month ago we announced CelesTrak as a non-profit--thanks to all of you who already stepped up and supported us! But to implement our vision, we are going to need a lot more help. Just a little from each of you would mean a world of difference. Please consider donating today!
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@TSKelso
T.S. Kelso
5 years
And it looks like USA 107 (DSP 17) may have just failed in GEO, too. Noticed when drift rate went above 0.1 deg/day. Monitoring.
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@TSKelso
T.S. Kelso
4 years
Starlink-7 launch is set for 2020-04-22 19:30 UTC with deployment at 19:45:25.430 UTC.
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@TSKelso
T.S. Kelso
2 years
CelesTrak is proud to partner with @AdrianWenz to provide the ability to visually track the #Artemis I mission. You can find links to the latest NASA information on the mission, plus how to access BINARY SPACE's SpaceMissions Web-Edition to track it, at .
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@TSKelso
T.S. Kelso
5 years
We’re already seeing (using Orbit Viz) 20 of the #Starlink satellites drifting behind the main pack as they start maneuvering to higher orbits. So, they’re starting to spread out fast.
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@TSKelso
T.S. Kelso
4 years
A fascinating--if not disturbing--view of how debris events are affecting the Earth orbital environment. You can see how things decay over time, as apogee drops, as well as how bad initial data can be right after an event: . Great work!
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@TSKelso
T.S. Kelso
2 years
The #Starlink Group 6-1 launch has been move to Monday, Feb 27, with the launch window opening at 18:38:40 UTC. I will be updating CelesTrak next.
@SpaceX
SpaceX
2 years
Targeting Monday, February 27 for launch of 21 second-generation Starlink satellites to low-Earth orbit from Florida →
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@TSKelso
T.S. Kelso
3 years
TJS-3 has been on the move since the end of August and is now in the vicinity of what @18SPCS identifies as TJS-3 AKM (apogee kick motor), which continues stationkeeping, despite its designation.
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@TSKelso
T.S. Kelso
6 years
My best guess at this point would be MICROSAT-R, in a 260 x 282 km, 89.9 deg orbit. Would have been ascending over NOTAM area at ~0530 UTC, within the 0430-0830 UTC window. It should have been operational, facilitating tracking.
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@TSKelso
T.S. Kelso
3 years
CelesTrak has pre-launch SupTLEs derived from state vectors provided by @SpaceX for the #Starlink Group 4-7 launch from Cape Canaveral on Feb 2 at 21:51:50 UTC. Deployment of 49 satellites is set to occur at 22:07:25.780 UTC:
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@TSKelso
T.S. Kelso
2 years
CelesTrak has pre-launch SupGP data for the #Starlink Group 5-2 launch set for 2023-01-26 at 09:32:20 UTC from Cape Canaveral. Deployment of 56 satellites is set for 09:51:14.360 UTC. Latest data can be found at: .
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@TSKelso
T.S. Kelso
3 years
1/ CelesTrak has pre-launch SupTLEs for the @SpaceX #Transporter -3 launch scheduled for 2022-01-13 at 15:25:38.990Z UTC. SupTLEs are available for 82 objects from the initial deployments, which starts at 16:25:12.130 UTC: .
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@TSKelso
T.S. Kelso
3 years
3/ Satellite operators that have independent ephemeris based on their own tracking can help @18SPCS and CelesTrak make IDs by sharing that data, just like @Planet does. This can greatly expedite the ID process to the benefit of all #Transporter -3 passengers.
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@TSKelso
T.S. Kelso
3 years
@deepbluecea @jeff_foust @18SPCS Good catch! Shows the current location but I forgot to add the label!
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@TSKelso
T.S. Kelso
3 years
For many years, TLE data on CelesTrak was entered by hand from Part I of the NASA Prediction Bulletins (received by mail). If you are curious about how they were used to allow manual calculations back before computers were widely available, check out: .
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