G1NavtotionESTIMATE
Foce bls tWo mass
f m, ma --
G - 6 - 6 7 xlg-11
Mass o
Eoth6,x 15 Ka
Gaviteon Feld
EOFE SUN
est
CnhwtatPoral Fe ld or a pont mass
E Gm
R
Gaote+onal Feld at
Centae o4uoo masses
net=4 ma-m
At 9il Pont (E =o)
stance of noll point om
A
Jm
Fun a
Regula folygon 9
Govta4onal Feld ot Centae
oPolygon ls zeso
G15avttforal Ce ld dve to
8) Rna-cer R/AM
=O
E GMc
RR+2)la
ESTIMATE
Gera ph or ffeld due to
Ring-JEIA
R 1l
At'R , Peld ts Maximum
Hollous &phene M,R
isPde O F S
Susa ceGH oU-tstde GM
R 9R
)&oltd Spheae
hsde GMs}
R
outside GH S v E c e G H
R
el
ExL
R
Ncceleaction due to qnavity
8-G C F=mEJ
foce
heghthegh h
ESTIMATE
t fo Gsnge helght
1+h
R R
( FoS mall
helabt 8-
1 R
atat depth d
R
Yaalatton ?n a due to hotolon ot
toth
p 8-RcoSE)
Jeqvotoa) 8 - R
Fo 9ejghtlessness in eqvato
9e have +o tnche ose the
by1 +imeas.
FmE) mV
fonce fotertiel Eheg
Nn
Potehttal due to a Polot Mass
( -Ghm
Potendiel
M
Po Rn
ESTIMATE
GM VCenihe= -GM
JRR+ R
2) foo MollousSphese
M
tnaeGH
R
CeHse-GM
R
aSUtace FaSM oUt sdeE-GM
R
Fon $o1ld phee? 4
MR
Vovtstde Svfae-GM
R
Centse áGM
aR
Relatfon bls eld Potetist
E-dv
E-V V dy K
z
Poteiol Eneagy-
Cm,m
bscape peed
Congide TE =0
Nese.J AM
n gen esal
Nesc JagR
Yascl.a Km ks
ESTIMATE
D btal Veloc (in Ci>colm Ombts
AV
Vo= M M
Yesc. V
Tme Period 1a, T-r
Kepless kaus ot planetaa
motYo 1
O t e l t e 0nblng
Cloe
to ecth veloclty is
ven by|Vo-Ja(R+N
Vase.Jg(R+)
A A aS
KE GMm V
E. CMm
Totol tne Pb--K«6.= -GMm
a
Keples kauds
1)kaus ot Onbi+s
Total Enex
-GMm
ae
Tre e tSewel oven 5CD = ,
1Gme tavel ove AD=t9
then,,=t2
a o sofAeq
ESTIMATE
otal Bneny=Const
Aeal Yeloty
dA Con$.
dt dm
HE F SUN
my m mVsin0
