Celestial Mechanics: The Waltz of the Planets (Springer Praxis Books Popular Astronomy)

Citation preview

Celestial Mechanics The Waltz of the Planets

Alessandra Celletti and Ettore Perozzi

Celestial Mechanics The Waltz of the Planets

Published in association with

c

«

(0 (0 JO

& &

^

4-'

o

ID

t/i OJ

u c

OJ OJ

_^ ^ *^

E

^.^

OJ

t/i

u c ro c o

OJ

t/1

01

t/i

c 1 o

'c Q. 00

"TO 4-'

ID

O t/i

ro

D T3

OJ

c ro

2

3^ _ ^ *^ t/i t/i

ro

2

c o

^^

2,

OJ

ro c Ol "u c

>s

4-'

•y C OJ

4-'

u u

LU

o

o 00

lO

r< m r\

r\

^ r\ -^ no r
"- -^ , (Ni ^ ^

>s

(N

_o

c ro _o

^ -^

>-

LU

c o ro D

E

OJ

T3

oT

U

-^ T

o

U

D LU (Ni

(Ni (Ni

"- "-

m

m

^ 00 (Ni m ^ 6 m ^ 6 ^ ^ -^

CN

(Ni 00 lO

CN

NO ON 00 00 ON I— ON I— lO no ON 00 r\ ON r\ o 00

(Ni

^

lO •

-^

lo

no (Ni ON 00

00

CO

no

CO

no

00 00

(Ni

o

q

r\

-^

no ON 00 ON T—

ON 1—

1—

00

1—

PNi

o o

lO

-^

-^ -^ '^ r\ '^

NO r\ 1— NO no 00 00 no NO ON ON

x x x x x x x x

r\

-^

00

-^ -^

NO ON r\

"-

— ,

T

-^ -^ '^ '^

(NJ

o

-^

no

-^

no NO r\

O

f>

o

f>

o

o

OJ

o

o

o

f>

f>

r\ 1—

4-'

PNi 1— 00 00 00 T —

o 4-'

OJ JZ

H

E

u
^ OJ

U

OJ t/1

OJ

j _

c

to"

-^ 4-'

o c

OJ

c

>^ >^ V V

u H H

NO (Ni

•o o

LU

m ON

>— >— "" "-^ '^ '^

'^

00 lO

lO NO

F

4-'

H

Q.

m

'

-^ NO o m o c^ r\ '^

-^ -^ >— "- l O m

X

c

"-

(Si (Ni

V u H Q

-^

00 m m lO lO lO 00 PNi NO PNi lO ON lO m NO NO r\ (Ni lO lO r\

'^

O O O O O O O O O O O O O O O O O O

>—

>— l O

00

T

PNi ON ON m r\ -^ r\ o ll OO ol O l O ON lO m 0o0 0 0 c^ (Ni -^ l-^ o m O ^ (Ni

>— l O

m

r\

I—

-^ c^

r\ oNO r\ 0c^ 0 (Ni l O (Ni

m m r\

(Ni

o

c^

ON 0 0 lO

T

1 —

T

lO NO C^ -^ 00 -^ ON >— >— -^

m r\

x x x x x x x x x x x x x x x x x x ,NO — , m -^ — , 0 0 -^ -^ 0 0 — NO NO

1—

00 NO 00 NO o PNi

-^ -^

0 \ O O i - i - f O C O i - c o c o r s ' O i o i o i o r s r s i o T - C N C N C N C N C N T - C N T - T - T - T - T - T - T - T - T - T -

T

>— O O O

(Si (Si O O

6

O

(Si

>— o o - ^ r ^ ' O m i O ' — ( S i i o O r ^ - ^ (Si-^ O o o r \ o o r ^ r \ o i v O O O O O (Si(Si(SiNOO(SiOOO O O ri O O O T - O O O O O

d d d

m

oomoNNOioiomoooNOOOO ON ONCNpncNNO-^oONomi—

ro -^ — , NO l O NO ON 0o0 r\ r\ o r— m > — NO

r-v -^ O O

(Ni ON rx o LO O

m ON >O

-^ r\ T— >—

T3 OJ u c

Q:

OJ

o

>s

X

LL

4-' OJ

r

(i.

OJ

J2

>—"" >—"" r n (Si""

H

i_

t/i

I— ( N ( N r O i O ( N i O L O O N i —

4-' OJ

E o

LU

OJ c o OJ

t/1

OJ OJ (U m X H U

4-' t/1


—

m OJ OJ OJ OJ ^


(Ni m m (Ni r\ m -^ -^ c^ c^ c^ -^ c^ ON (Ni

o o o o o o o o

lomooNOOm-^O

Planetary satellite data

_

OJ

218

O

J2

OJ OJ

t/1

.2 E

c o 4-'

c

u c T3

_^ —' J-' OJ c

2? 01 U C ro •^

Q 75

if

c LU £i_ 00 _ 1 U

E Z! rr\

0\ r v O N - ^ o o > — - ^ r x o o o o o ^ o m o

00 • ^ o o > — l O O " — l O O N r N ^ r x ^ o o o o ^ m ( s i ( N i ( N i m m - ^ ^ m LO lO IV IV — lO 00 IV o •^ IV 00 ON >— (Nl

ON

Planetary satellite data

-^ q rn o

CO

O

CO

o o o o o o

CO

O

0\

o

^

o o o o o o

^

X

O

^

PNl 1—

,

-^ ON -^ -^

IV

m

lO

NO

>—

NO ON

T

1—

ON ON lO ON

u

ro

C O

IV

3

T

IV

o o o o o

m

t/i

i^ !f5 ro o

'

-^ -^ NO

00 NO PNl l O l O ON l O PNl T l O NO IV

m

o -^

-^ o o o o o

PNl

(Nl (Nl

t/1 t/1

ro ro OJ ro r

o o

lO

-^ PNl

o o o o o o o o o

IV l O PNl IV PNl 00

ro

-^ l O

o o

o o o o

lO IV

-^ I—

m

lO"

OJ

1—

X

-^

o (Nl

m o

NO lO 00

T—

•^

m

-^ lO

o o o o 00

- ^ ( N i ^ O N - ^ r N i o ^ m m - ^ O ^ ^ O C N o o r N i v r N O O f N O ^ IV

-^ IV -^ ON >—m

m m

u

o m

IV m l O NO IV IV ON PNl PNl NO NO NO l O ON IV 0 0 NO 0 0 NO l O l O 00 ON

m

=3

T3 ro c T3 C -^ OJ

=

m (Nl

m

0 0 ON NO NO ON lO 00 (Nl

X

o o o o o o o o

•N

^

a