HW1_Position_Motion_Time_SOLUTIONS

HW1_Position_Motion_Time_SOLUTIONS - ASTR302 Homework #1...

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ASTR302 Homework #1 (due in class on Wednesday, January 16, 2008) 1) Complete and submit LT Seasonal Stars (pp 7-9 of Lecture Tutorial book) 2) Mars rotates 668 times per Martian year and it both rotates and revolves in the same direction. The length of a mean solar day on Mars is 24:39:35 (HH:MM:SS). What is the length of a sidereal day on Mars in HH:MM:SS? Include both a diagram and a written explanation in your solution. We can use the fact that Mars rotates 668 times per year to determine how many degrees Mars travels around the Sun per rotation: rotation rotations / 539 . 0 668 360 ° = ° Thus, after one sidereal rotation (360 ° ), Mars must rotate an addition 0.539 degrees in order to complete a “solar day” which takes 24h39m35s (or 88775 seconds). We use this to determine how quickly Mars rotates. sec / 00406 . 0 sec 88775 539 . 360 sec 88775 1 * / 539 . 0 360 ° = ° = ° + ° rotation rotation This can be used to determine how long it will take Mars to rotate through one sidereal day (or 360 ° . s m h 22 37 24 sec 88642 00406 . 0 sec 1 * 360 = = ° °
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3) What is the approximate sidereal time when it is noon apparent solar time on the following days: (explain each answer) i. the first day of spring (March 21) ii. the first day of summer (June 21) iii. April 21 For all three problems, we need to know the location of the sun relative to the
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HW1_Position_Motion_Time_SOLUTIONS - ASTR302 Homework #1...

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