Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Ask your questions and receive precise answers from experienced professionals across different disciplines. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
Spacecraft will take around 49 minute and 92 second to coast from perigee to the apogee.
We use Kepler's third law for which the time period is defined as
[tex]T = 2 \pi \sqrt[]{\frac{a^{3} }{GM} }[/tex]
The Prague's altitude is the shortest distance between the earth's surface and satellite.
The average distance of the perigee and apogee of satellite can be defined as
a = R + [tex]\frac{r_{1} +r_{2} }{2}[/tex]
R is the radius of earth (6374.1km)
r1 is the lower orbit. (500km)
r2 is the higher orbit.(900km)
Using the values in above equation we get:
6374.1+ (500+ 900)/2
a = 7078.1 km
Time taken to fly from perigee to apogee equals to the half of the orbital speed so
t = T/2
[tex]t = \pi \sqrt[]{\frac{a^{3} }{GM} }[/tex]
by using the values we get-
= √[(7078.1)³/6.67 ×10⁻¹¹ × 6×10²⁴]
= 295573.94 * 10⁻²
= 2995.73s
t = 49 mint 92 sec
It will take around 49 minute and 92 second to coast from perigee to the apogee.
To know more about perigee ang apogee :
https://brainly.com/question/28538480
#SPJ4
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.