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1) For an orbit with perigee altitude of 300 km and apogee altitude of 800 km, what is the magnitude of the position vector (in km) when the spacecraft has just passed perigee by 30 deg? 2) The...

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1) For an o
it with perigee altitude of 300 km and apogee altitude of 800 km, what is the magnitude of the position vector (in km) when the spacecraft has just passed perigee by 30 deg?
2) The NPSAT-1 satellite was launched in June 2019 into a circular o
it of 720 km altitude by 24 deg inclination. What is its period in seconds?
3) For a spacecraft o
iting the earth with perigee altitude of 250 km and apogee altitude of 26,500 km, what is its specific mechanical energy (km2/sec2)?
4) (Not the same as previous question) For a spacecraft o
iting the earth with pergee altitude of 250 km and apogee altitude of 28,000 km. If the spacecraft's distance from earth's center is 30,000 km, what is its velocity in km/sec?
5) For a geosynchronous o
it (circular o
it) with period of 23 hours, 56 minutes, what is its semimajor axis in kilometers?
6) A Hohmann transfer is used to move a spacecraft from a circular o
it altitude of 225 km to a co-planar circular o
it altitude of 3500 km. What is the Total ΔV in meters per sec for the maneuver?
7) A spacecraft is in a circular o
it at 400 km altitude and 26 deg inclination. In order to make a simple plane change of the o
it to a 51.6 deg inclination, what is the magnitude in kilometers per second of the ΔV for the maneuver?
Answered Same Day Jun 22, 2021

Solution

Kamal answered on Jun 23 2021
155 Votes
1.
Where l= semi latus rectum, ε= eccentricity, r= distance from focus i.e earth.
So, we get
Solving the equations we get
ε = 0.036    and    l = 6941 km
When θ = 30o,
So, the magnitude of position when the spacecraft is at 30o is 331 km.
2. Velocity,
We know that time period,
3. rp = 6400+2500 = 6650 km
a = 26500+6400 =32900 km
l= semi latus rectum, ε= eccentricity
Where ε =...
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