Transfer Orbits: Lambert Arcs
Transfer Orbit Design
(special class of boundary value problem)
1.
Geometrical relationships
Conic paths connecting two points that are fixed in space
with focus at the attracting center
2.
Analytical Relationships
3.
Lambert’s Theorem
LL 1

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Lambert’s Theorem
Know a lot about possible orbits connecting two points
But analytical relationships rely on “
a
”
how to get it?
Must somehow select
“
a
”
an additional specification
about the transfer path
What to specify?
Lambert: conjecture that given I.C.s
1
1
1
(
)
sin
p
n t
t
E
e
E
−
=
−
2
2
2
(
)
sin
p
n t
t
E
e
E
−
=
−
1
LL 2