B https://session.masteringphysics.com/m Physics 1-PHYS 1021 s.com/myct/itemView

Question

B https://session.masteringphysics.com/m Physics 1-PHYS 1021 s.com/myct/itemView?assignmentProblemiD-47182050 Signed in as leo nebesk Homework0B Problem 9.53 previous Problem 9.53 Part A A Hohmann elipse is the trajectory for a spacecraft Find the travel time from Earth to Jupiter along such a trajectory going from one planet to another that requires the least enargy This ellipse has its perhelion at one planets Express your answer with the appropriate units. orbit and its aphelion at the orbit other's (Figure 1) t=11 Value Units Submit My Answers Sive Up Figure Jupiter's orbit Earth's orhit Hohmann ellipse ann ellipse/

Explanation / Answer

E = (1/2)mv^2 - GMm/r = -GMm/(2a)

v^2 = mu ( (2/r) + (1/a) )

mu = GM

r = distance of the orbiting body from primary focus

a = semi major axis of the body's orbit

delta V1 = sqrt ( mu / r1) ( sqrt (2r2 / (r1 + r2 )) - 1)

delta V1 = sqrt ( mu / r2) ( 1- sqrt (2r1 / (r1 + r2 )) )

delta V (total) = delta V1 + delta V2

t(H) = (1/2) sqrt(4*(pi^2)*(a^3) / mu)

t(H) = pi * sqrt{((r1+r2)^3 )/(8*mu)}

Related Questions

Navigate

• Browse (All)
• Browse B
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.