lease see attachment for full question. I would like some assistance with the approach for this. The Schwarzschild radius ?BH for an object of mass ? is defined as   ?BH=2???2 where ? is the speed of light and ? is the universal gravitational constant. ?BH gives the radius of the event horizon of a black hole with mass ?. In other words, it gives the radius to which some amount of mass ? would need to be compressed in order to form a black hole. The mass of the Sun is about 1.99×1030 kg. What would

A light source G is moving, with respect to an observer O, at an angle 0 =117° between the direction of relative motion and the line of sight from O to G. The redshift of the light emitted by G and measured by O is z = 0. Find the speed of G with respect to O in units of c, the speed of light. Enter your answer to 3 decimal places. direction of relative motion G line of sight

Please answer the first three questions. PLEASE DO NOT SKIP ANY STEPS AND COMPLETELY EXPLAIN YOUR ANSWER. I have submitted this question now three times and have gotten different answers each time. Please make sure to answer the first question in terms of AU!! Please double check your work, and please make sure you fully undrestand the question before you undertake the problem.

no need to do b only a) for a) I got 16.1 and it says that is incorrect and the units as well.

Please explain the theory also. I need to understand the concept. Thank you in advance. A light of wavelength 620 nm is emitted from 5 Schwarzschild radii from a 20 solar mass black hole. What wavelength is observed for this light by an observer a long distance away? (The objects are not moving with respect to the observer)

Hello My question is about special relativity. The question is displayed in the uploaded photo.

Please answer all three parts! Thank you. Stanford has a linear particle accelerator (SLAC) which is 3 km long that produces electrons with a total energy of 50 GeV. These electrons lead exciting (albeit brief) lives, zooming along the accelerator before slamming into a target to produce other high-energy particles. a. Consider the viewpoint of one of the electrons. From the electron’s point of view, how long is the accelerator? Note that it is possible to answer this question without calculating the electron’s velocity. b. Let’s figure out how fast the electrons are traveling. Start by solving for β = u/c in terms of 1/γ following the trick we used in class. Use the binomial expansion if that is helpful. At what speed does a 50 GeV electron travel? c. The Large Hadron Collider (LHC) at CERN presently accelerates protons to a total energy of 6.5 TeV. Imagine a pulse of light, a 50 GeV electron, and a 6.5 TeV proton race each other along a 3 km distance. The light pulse will surely win…

Consider a US Air Force launch of its latest GPS satellite from Cape Canaveral.  Radar tracking shows the following J2000 state vector (X,Y,Z and Vx,Vy,Vz) at burnout.   26 Feb 2022 17:10:00.000    (X,Y,Z): 5210.345121    -549.481941    4300.883291       (Vx,Vy,Vz): -1.451280      7.391098     2.690198   Calculate the minimum total delta V required to maneuver this spacecraft into a circular orbit with a 12-hour period and an inclination of 61 degrees, assuming impulsive maneuvers and two-body dynamics.   Please solve using equations from Howard Curtis's Orbital Mechanics for Engineering Students, 4th Edition. Or if not possible name the equations you use. Also please use matlab syntax for solving or write the equations out clearly. Thanks!

Please don't provide handwritten solution ...

please explain why the graph is this way!