Astrodynamics 102 - DerAstrodynamics.com
Astrodynamics 102 - DerAstrodynamics.com
Astrodynamics 102 - DerAstrodynamics.com
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v (t )<br />
2<br />
object<br />
at t 2<br />
r (t )<br />
2<br />
Sphere<br />
2-Body<br />
Transfer<br />
Orbit<br />
Lambert and Lambert+ Algorithms<br />
Lambert Problem<br />
Given: r (t ) , r (t<br />
2<br />
) , t , t<br />
1<br />
1 2 , inc_to<br />
Find: Lambert: v (t ) , v (t ) ,<br />
v (t )<br />
1<br />
r (t )<br />
1<br />
object<br />
at t<br />
1<br />
1<br />
For each inc_to:<br />
Single revolution has one solution<br />
Multi-revolution (N) may have<br />
( 2N + 1 ) solutions<br />
2<br />
Lambert + : v (t<br />
1<br />
) , v (t 2 )<br />
r (t )<br />
2<br />
Lambert (2-Body) solution Lambert+ solution for SSA<br />
(accurate and fast )<br />
v (t )<br />
2<br />
object<br />
at t 2<br />
add perturbations analytically<br />
( J 2 , J 3 , J 4 , J 22 , J 31 , . .<br />
Sun , Moon , Drag , . . )<br />
Spheroid<br />
Kepler+<br />
2-Body<br />
Transfer<br />
Orbit<br />
v (t )<br />
1<br />
r (t )<br />
1<br />
object<br />
at t<br />
1
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