A satellite has an orbit with a Perigee Altitude of alt=122 km, an Apogee Altitude of...

 

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A satellite has an orbit with a Perigee Altitude of alt=122 km, an Apogee Altitude of alta = 427 km, an Inclination of i= 28.390. The present Longitude of the Ascending Node is 2 = 262° and the current Augment of Perigee is co=148º. Use 4 decimal places or 4 significant figures for <0 calculations (i.e., 1.1234 or 0.01234) in your calculations and answers. Do not round any given figures (i.e., J, = 0.0010826267). 1.Using general perturbation methods, calculate the mean rate of change in the longitude of the ascending node (nodal regression rate) caused by the Earth's oblateness (J₂). (8 Points) 2.Considering only the nodal regression rate caused by Earth's oblateness (J) from Problem 1, determine the new longitude of the ascending node for this satellite 16 days after the initial epoch of 20 = 262°. (6 Points) 3.Using general perturbation methods, calculate the mean rate of change in the argument of perigee (apsidal rotation) caused by the Earth's oblateness (J). Give your answer in radians per second. (8 Points) 4. Considering only the apsidal rotation caused by Earth's oblateness (J₂) on the argument of perigee (Problem 3), determine how many degrees of apsidal rotation the Earth's oblateness causes for this satellite 16 days after the initial epoch of=148°. (6 Points) 5.Calculate the number of revolutions per day (Nev) for this satellite. (6 Points) 6. Calculate secular drift rates for the longitude of the ascending node caused by Lunar and Solar gravity for this satellite (2 separate answers). (6 Points) 7.Considering only the nodal regression rate caused by Lunar gravity from Problem 6, determine the new longitude of the ascending node for this satellite 30 days after the initial epoch of 9 = 262° Repeat for 365 days after the initial epoch. Be sure to highlight 2 answers for each your 30-day and 365-day calculations! Comment on these results. (6 Points) 8. Considering only the nodal regression rate caused by Solar gravity from Problem 6, determine the new longitude of the ascending node for this satellite 30 days after the initial epoch of Q, = 262°. Repeat for 365 days after the initial epoch. Be sure to highlight 2 answers for each your 30-day and 365-day calculations! Comment on these results. (6 Points) 9.Calculate secular drift rates for the argument of perigee caused by Lunar and Solar gravity for this satellite (2 separate answers). (6 Points) 10. Considering only the apsidal rotation caused by Lunar gravity from Problem 9, determine the new argument of perigee for this satellite 30 days after the initial epoch of c=148° Repeat for 365 days after the initial epoch. Be sure to highlight 2 answers for both the 30-day and the 365-day calculations! Comment on these results. (6 Points) 11. Considering only the apsidal rotation caused by Solar gravity from Problem 9, determine the new argument of perigee for this satellite 30 days after the initial epoch of = 148° Repeat for 365 days after the initial epoch. Be sure to highlight 2 answers for both the 30-day and the 365-day calculations! Comment on these results. (6 Points) A satellite has an orbit with a Perigee Altitude of alt=122 km, an Apogee Altitude of alta = 427 km, an Inclination of i= 28.390. The present Longitude of the Ascending Node is 2 = 262° and the current Augment of Perigee is co=148º. Use 4 decimal places or 4 significant figures for <0 calculations (i.e., 1.1234 or 0.01234) in your calculations and answers. Do not round any given figures (i.e., J, = 0.0010826267). 1.Using general perturbation methods, calculate the mean rate of change in the longitude of the ascending node (nodal regression rate) caused by the Earth's oblateness (J₂). (8 Points) 2.Considering only the nodal regression rate caused by Earth's oblateness (J) from Problem 1, determine the new longitude of the ascending node for this satellite 16 days after the initial epoch of 20 = 262°. (6 Points) 3.Using general perturbation methods, calculate the mean rate of change in the argument of perigee (apsidal rotation) caused by the Earth's oblateness (J). Give your answer in radians per second. (8 Points) 4. Considering only the apsidal rotation caused by Earth's oblateness (J₂) on the argument of perigee (Problem 3), determine how many degrees of apsidal rotation the Earth's oblateness causes for this satellite 16 days after the initial epoch of=148°. (6 Points) 5.Calculate the number of revolutions per day (Nev) for this satellite. (6 Points) 6. Calculate secular drift rates for the longitude of the ascending node caused by Lunar and Solar gravity for this satellite (2 separate answers). (6 Points) 7.Considering only the nodal regression rate caused by Lunar gravity from Problem 6, determine the new longitude of the ascending node for this satellite 30 days after the initial epoch of 9 = 262° Repeat for 365 days after the initial epoch. Be sure to highlight 2 answers for each your 30-day and 365-day calculations! Comment on these results. (6 Points) 8. Considering only the nodal regression rate caused by Solar gravity from Problem 6, determine the new longitude of the ascending node for this satellite 30 days after the initial epoch of Q, = 262°. Repeat for 365 days after the initial epoch. Be sure to highlight 2 answers for each your 30-day and 365-day calculations! Comment on these results. (6 Points) 9.Calculate secular drift rates for the argument of perigee caused by Lunar and Solar gravity for this satellite (2 separate answers). (6 Points) 10. Considering only the apsidal rotation caused by Lunar gravity from Problem 9, determine the new argument of perigee for this satellite 30 days after the initial epoch of c=148° Repeat for 365 days after the initial epoch. Be sure to highlight 2 answers for both the 30-day and the 365-day calculations! Comment on these results. (6 Points) 11. Considering only the apsidal rotation caused by Solar gravity from Problem 9, determine the new argument of perigee for this satellite 30 days after the initial epoch of = 148° Repeat for 365 days after the initial epoch. Be sure to highlight 2 answers for both the 30-day and the 365-day calculations! Comment on these results. (6 Points)

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1 Using general perturbation methods calculate the mean rate of change in the longitude of the ascending node nodal regression rate caused by the Earths oblateness J2 Nodal regression rate dot due to ... View the full answer