No, the planet appears heavy and flattened in the direction you are travelling.
So to calculate the planet's details for the speed I need to slow to for orbit I need to wait until we are close and at "normal" speed. For the sake of the exercise I am leaving out any forumalas you might have that would allow me to factor in 50% light speed etc.
As noted above it takes less time to get there than expected as measured by the clock on board the ship. Consulting the speedometer and comparing with the time we can only conclude that the distance is less than we researched on GoogleSpace before we set out. Likewise the planet looks flattened due to "Relativistic Foreshortening".
I searched around on "relavistic" and my understanding is that is a speed where all this stuff comes into play and Newton has to stand in the corned of the room and it is not a specific velocity. Is this correct?
The mass is harder to explain but I will try to keep it simple. Firstly remember there is no absolute inertial frame. Every perspective is as valid as every other. That is the basis of Relativity.
Although in some ways we can consider the planet as moving towards us, the crucial difference is the space in between is stationary for them but moving for us.
To us it appears they are only travelling the foreshortened distance towards us. Consequently we see their speed towards us as slower than our speedometer reading.
However when we send the probe to collide with it (in order to determine its mass by the rebound) we find that it has considerably more momentum than we expected from that speed. We can only conclude that its mass was higher than the link on GoogleSpace had told us.
From their perspective they see our probe moving the whole distance because the space separating us is stationary relative to them. However their clock is ticking faster than ours so the probe doesn't appear to be travelling as fast for them as our speedometer reading. Likewise, after the collision they conclude the mass of our probe is higher than expected.
OK. If I fire a bullet from my rifle through a chronograph and the velocity is 3500 f/s and behind the chronograph I have old style ballistic pendulum, I could calculate how far the pendulum will swing.
Lets say I can get the rifle to do 50% light speed. What velocity will the chronograph show, bearing in mind it is a timing device. I assume the ballistic pendulum will higher than my calculated momentun because the bullets mass is greater. Or is it a case that for the pendulum the bullet's mass is the same on impact.
Yes. As our frame of reference changes back to that of the planets, the relativistic kinetic energy must be extracted. (Better start work on Isaac early as he was known for being rather arrogant.)
So there is a reversal factor. So does this mean the slowing down from 50% light speed brings everything back to the same for the 3 observers, that is, earth, us and the new planet.
No. The time that you "saved" is never lost. It is important to realise that this isn't an illusion caused by speed. Your time is absolutely as valid as any other measurement of time in the Universe. What is lost is the whole meaning of "simultaneous" for things moving relative to each other at high speed.
Time only passes at the same rate for objects that are not moving relative to each other (and have the same gravitational influences, but that is another story that took another decade for Einstein to fully grasp).
It depends on where you measure from. It is as a function of the percentage of light speed relative to the observer's frame of reference. You will observe a very, very small increase in mass of the probe while observers on Earth will see a larger one. This is because of the Pythagorean relationship that makes the effect more pronounced as we approach the speed of light.
I think that answered my previous question.
No need for a God. What science knows of reality is far weirder than anything the religious could possibly dream up. Truth is really stranger than fiction especially when it gets to Quantum Mechanics. Cause and Effect no longer apply. Instead probabiliies take over, allowing counter intuitive possibilites like someting being literally in two places at once. (I kid you not.)
If you want a real conundrum that will set your mind spinning about the potential for faster than light communication, check out "Quantum Entanglement".
Is Quantum Mechanics where Einstein said something like "God does not roll dice" and my understanding of that was he could not see science based on something that was random.
Is Quantum Mechanics the "god" that covers all the unexplained.