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Astrodynamics 101 - DerAstrodynamics.com

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Osculating Orbital<br />

Elements at t o<br />

[ r (t ), v (t )]<br />

o o<br />

Radars /<br />

Optical<br />

sensors<br />

Future<br />

look angles<br />

( pointing<br />

prediction )<br />

Others . . . . . .<br />

Orbit Determination and Prediction/Propagation<br />

Object at t<br />

r<br />

Unsuitable for real-time<br />

automatic processing<br />

Ephemerides<br />

(Catalogs)<br />

Raw<br />

Observation<br />

data<br />

v<br />

Orbit<br />

Determination<br />

(Estimated future/past)<br />

position and velocity vectors<br />

Rise/Set<br />

Site visibility<br />

<strong>Astrodynamics</strong><br />

102: Lambert /<br />

103: Gauss/Laplace<br />

Initial Orbit<br />

Determination<br />

Processed<br />

Observation<br />

data<br />

Differential<br />

Correction<br />

Batch / KF<br />

TLE<br />

conversion<br />

difficulties<br />

Singularity<br />

difficulties<br />

Osc2Mean<br />

Analytic algorithms in OD and P/P<br />

need to process 100,000+ Objects<br />

in less than 12 hours with accuracy<br />

of 10 km to centimeters for SSA<br />

(Estimated initial)<br />

positin and<br />

velocity vectors<br />

Orbital<br />

element set<br />

r and v<br />

Prediction /<br />

Propagation<br />

1 2<br />

SP<br />

3<br />

Numerical<br />

SGP4<br />

Integration Kepler+<br />

Close approach<br />

(miss distance)<br />

Osculating Orbital<br />

Elements at t<br />

[ r , v ]<br />

Astro <strong>101</strong>:<br />

Kepler<br />

1<br />

2<br />

3<br />

SGP4 needs TLE<br />

conversion<br />

(not efficient for SSA)<br />

SP is accurate, but<br />

slow for SSA<br />

Kepler+ is accurate<br />

and fast for SSA

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