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Astronomy Principles and Practice Fourth Edition.pdf

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Answers to problems 465<br />

5.<br />

Maximum<br />

Minimum<br />

Right ascension June 21st December 21st<br />

Declination N September 21st March 21st<br />

7. Displacement in celestial longitude =−21·′′ 81; in celestial latitude = 0<br />

8. 1448 years<br />

9. The star lies on the great circle arc joining the zenith to the ecliptic point A which is 90 ◦ behind<br />

the Sun such that<br />

k tan z = κ sin θ<br />

where θ is the angle between the star <strong>and</strong> A. z = 18 ◦ 24 ′<br />

10. 6 h<br />

11. 43 ◦ N; 47 ◦<br />

12. 6859 years hence<br />

13. 50·′′ 70 per annum; 0·0143 day<br />

14. (i) λ = 330 ◦ ; b = 66 1 2 ◦ N (ii) α = 302 ◦ 14 ′ ; δ = 49 ◦ 36 ′ N<br />

15. 48 1 2 N; 90◦ ; 4189 years hence<br />

Chapter 12<br />

1. Superior<br />

2. 115·9days<br />

3. 46 ◦ 18 ′<br />

4. 4330 days<br />

5. 23 ◦ 34 ′<br />

6. 5·483<br />

7. 0·8821<br />

8. 1·291<br />

9. 0·6395 AU; 0·9457<br />

10. (i) 38 ◦ 46 ′ ; (ii) 97·3 days<br />

11. 120·6days<br />

12. 0·0976<br />

13. (NB: 1968 is a Leap Year) Aug 28th; Mar 14th; 1978; Every 12th year<br />

Chapter 13<br />

1. 8 years<br />

2. 0·6151 year<br />

3. 1·524 AU<br />

4. 1/1060<br />

5. 0·0316 year<br />

6. 341 000<br />

7. 6200 km<br />

8. 2078 km; 0·1251; 79·1/1<br />

9. 2·081 days (Hint: Use the first approximation to the binomial theorem)<br />

10. (i) 0·382 AU; (ii) 1·205; (iii) 5·59 AU year −1<br />

11. (i) 60·16; (ii) 3619

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