Find Docs

Astronomical Applications Department, U.S. Naval Observatory - Sensitivity Integral (Page 22)

Wodocs >> Science : Astronomy >> Astronomical Applications Department, U.S. Naval Observatory Sensitivity Integral Page 22
Astronomical Applications Department, U.S. Naval Observatory - Sensitivity Integral
=
(
)
S , , , ,
,
r s g T
1
2
d
1
2
integrand
1
x
(
)
S , , , ,
,
r s g T
1
2
=
d
1
2
(
)
+
+
+
+
a
0
a
1
x
a
2
x
2
a
3
x
3
a
4
x
4
(
)
sin s x
2
(
)
-
(
)
sin r x
(
)
sin r g x
2
x
becomes, to fourth order in combinations of s and r,
=
(
)
S
4
, , , ,
,
r s g T
1
2
d
1
2
(
)
factor
(
)
expansion
,
,
integrand
1
[
]
,
s r
4
x
=
(
)
S
4
, , , ,
,
r s g T
1
2
d
1
2
(
)
+
+
+
+
a
0
a
1
x
a
2
x
2
a
3
x
3
a
4
x
4
x
4
(
)
- +
1
g
2
r
2
s
2
x
(Indeed, this fourth-order term is the first nonzero one to appear.) Hence we have
(
)
factor
(
)
value %
(
)
S
4
, , , ,
,
r s g T
1
2
1
2520
s
2
r
2
(
)
- +
1
g
2
(
)
- +
1
2
504
2
2
1
2
a
0
315
2
7
a
3
+


=
360
2
6
a
2
420
2
5
a
1
504
2
4
a
0
280 a
4
2
8
360 a
2
1
6
315 a
3
1
7
+
+
+
+
+
+
280 a
4
1
8
504
1
4
a
0
420 a
1
1
5
315
2
6
1
a
3
280
2
7
1
a
4
+
+
+
+
+
280
2
5
1
3
a
4
315
2
5
1
2
a
3
360
2
5
1
a
2
280
2
6
1
2
a
4
315
2
2
a
3
1
5
+
+
+
+
+
360
2
2
a
2
1
4
420
2
2
a
1
1
3
280
2
3
a
4
1
5
315
2
3
a
3
1
4
360
2
3
a
2
1
3
+
+
+
+
+
420
2
3
a
1
1
2
504
2
3
1
a
0
280
2
4
a
4
1
4
315
2
4
a
3
1
3
360
2
4
a
2
1
2
+
+
+
+
+
420
2
4
a
1
1
280
2
a
4
1
7
315
2
a
3
1
6
360
2
a
2
1
5
420
2
a
1
1
4
+
+
+
+
+
504
2
1
3
a
0
280
2
2
a
4
1
6
+
+


Page 22

<< Previous       1 .. 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29       Next >>



Other Documents:
3 D plot fits, lyap2, NAO 150, Rotate Vector, lyapcalc, wedges, Scifull, Precession Memo, Precession Maple, Curves 3 D, NOVAS 2004 Overview, NOVAS 2006 Overview, thesis, Ranson,


WODocs | |
All rights reserved. wodocs.comę 2009
WODocs


New Docs

Documents Category:
Arts (Design, Movies, Music, Radio, Television)
Automotive (Cars, Marine, Motorcycle, ATV, Snowmobiles)
Business (Biotechnology and Pharmaceuticals, Chemicals, Construction and Maintenance, Materials, Real Estate, Services)
Electronics (Computers, Motion Control, Power Supply)
Games (Board, Family, Party, Card, Construction, RC Toys)
Health (Animalm, Beauty, Healthcare, Medicine, Pharmacy, Surgery, Weight Loss)
Home (Accessories, Cooking, Decor and Design, Electrical, Family, Pets)
News (Newspapers, Sports, Television)
Recreation (Collecting, Hiking, Scouting, Survival, Travel)
Reference (Education, Libraries and Archives, Museums)
Science (Agriculture, Astronomy, Biology, Chemistry)
Shopping (Antiques and Collectibles, Clothing, Flowers, Food, Home and Garden)
Sports (Bicycle, Snowboard, Skiing, Other)