Doppler Effect Of Gravitational Field

[TonyYuan2020]

You are following the same path as ralfcis, ralfcis already asked this question in (http://www.scienceforums.com/topic/35098-relativity-and-simple-algebra/). The answer is your add the gamma's to find the speed or use the equation r² = x² + y² + z²

 

1) A and B are traveling at γ_a * γ_b  or it's around like .995C

2) They are again traveling γa * γb or like 0C

3) They are traveling at γ_f² = γ_x² + γ_y²   or ‭.933C

Can you explain the calculation process of ‭ 0.933C? What's the specific data?

 

Janus told me it is like this  w = (u+v)/(1+uv/c^2),  You told me it is γ_f² = γ_x² + γ_y²

Edited March 18, 2020 by TonyYuan2020

[Vmedvil2]

Can you explain the calculation process of ‭ 0.933C? What's the specific data?

Use algebra, it's just substitution.

[TonyYuan2020]

Use algebra, it's just substitution.

Can you write down the specific operation steps? This is very important.

Janus told me it is like this  w = (u+v)/(1+uv/c^2),  You told me it is γ_f² = γ_x² + γ_y²

Edited March 18, 2020 by TonyYuan2020

[Vmedvil2]

Can you write down the specific operation steps? This is very important.

Janus told me it is like this  w = (u+v)/(1+uv/c^2),  You told me it is γ_f² = γ_x² + γ_y²

They both yield the same answer.

[TonyYuan2020]

They both yield the same answer.

Can you write down the specific operation steps? This is very important.

 w = (u+v)/(1+uv/c^2), here u=? v=? 

 

Janus's answer of first question: (0.9c+0.9c)/(1+ 0.9c(0.9c)/c^2) = ~0.9945c

when i ask second question, he hasn't given an answer yet.

 

Third question:

Your answer is 0.933C, can you write out the calculation process?

Edited March 18, 2020 by TonyYuan2020

[Vmedvil2]

Can you write down the specific operation steps? This is very important.

 w = (u+v)/(1+uv/c^2), here u=? v=? 

 u = V_x , v = V_y , I just annotated them dimensionally instead in a (u,v) matrix which is the samething.

Edited March 18, 2020 by VictorMedvil

[TonyYuan2020]

 u = V_x , v = V_y , I just annotated them dimensionally instead in a (u, v) matrix which is the samething.

u=0.9C or -0.9C or others?

v=0.9C or -0.9C or others?

w = (u+v)/(1+uv/c^2) = (?+?)(1+??/c^2) 

Edited March 18, 2020 by TonyYuan2020

[Vmedvil2]

u=0.9C or -0.9C or others?

v=0.9C or -0.9C or others?

w = (u+v)/(1+uv/c^2) = (?+?)(1+??/c^2) 

u = .9C

v = .9C

V_x = .9C

V_y = .9C

[TonyYuan2020]

u = .9C

v = .9C

V_x = .9C

V_y = .9C

Janus's answer for first answer: 

Thus w( the relative velocity between ship A and B as measured by either ship) is

(0.9c+0.9c)/(1+ 0.9c(0.9c)/c^2) = ~0.9945c = 0.994475138121547C

 

but your answer is 0.933C ,why?

[Vmedvil2]

Janus's answer for first answer: 

Thus w( the relative velocity between ship A and B as measured by either ship) is

(0.9c+0.9c)/(1+ 0.9c(0.9c)/c^2) = ~0.9945c = 0.994475138121547C

 

but your answer is 0.933C ,why?

It was a typo, it was .994, i just rounded incorrectly.

[TonyYuan2020]

It was a typo, it was .994, i just rounded incorrectly.

 

First scene:

<--A----------------------------------Earth---------------------------------------B--->

-0.9C............................................................................................................0.9C

Please answer the relative speed between A and B .    Victor's answer is 0.9945C.

 

Second scene:

Earth---------------------------------------A--->

----------------------------------------------B--->

.............................................................0.9C

Please answer the relative speed between A and B .   Victor's answer is 0C.

 

 

Third scene:

Earth---------------------------------------A--->

.|....................................................0.9C

.|

.|

.|

.|

\/ B 0.9C

Please answer the relative speed between A and B .    Victor's answer is 0.9945C.

 

Fourth scene:

Earth---------------------------------------A--->

.。|....................................................0.9C

.。。|

.。。。|

.。。。。|

.。。。。。|

..................._/   B 0.9C    The angle is 45 degrees

Please answer the relative speed between A and B . 

Edited March 18, 2020 by TonyYuan2020

[Vmedvil2]

 

First scene:

<--A----------------------------------Earth---------------------------------------B--->

-0.9C............................................................................................................0.9C

Please answer the relative speed between A and B .    Victor's answer is 0.9945C.

 

Second scene:

Earth---------------------------------------A--->

----------------------------------------------B--->

.............................................................0.9C

Please answer the relative speed between A and B .   Victor's answer is 0C.

 

 

Third scene:

Earth---------------------------------------A--->

.|....................................................0.9C

.|

.|

.|

.|

\/ B 0.9C

Please answer the relative speed between A and B .    Victor's answer is 0.9945C.

 

Fourth scene:

Earth---------------------------------------A--->

.。|....................................................0.9C

.。。|

.。。。|

.。。。。|

.。。。。。|

..................._/   B 0.9C    The angle is 45 degrees

Please answer the relative speed between A and B . 

 

You aren't going to get different answers the more complex you make it, special relativity is correct. I don't feel like doing that situation as it would require doing alot of alegbra to find the velocities between those object as you would have to take in account alot of trigonometry, but something like this 

γ_f = (γ_ax - γ_{bx(component)})² + γ_{by(component)}²

Edited March 18, 2020 by VictorMedvil

[TonyYuan2020]

You aren't going to get different answers the more complex you make it, special relativity is correct. I don't feel like doing that situation as it would require doing alot of alegbra to find the velocities between those object as you would have to take in account alot of trigonometry.

 

Third scene:

Earth---------------------------------------A--->

.|....................................................0.9C

.|

.|

.|

.|

\/ B 0.9C

Please answer the relative speed between A and B .    Victor's answer is 0.9945C.

 

But According to special relativity, the answer should be u=2^1/2/2 * 0.9c, v=2^1/2​/2 * 0.9c, the last answer is 0.906C.

[Vmedvil2]

 

Third scene:

Earth---------------------------------------A--->

.|....................................................0.9C

.|

.|

.|

.|

\/ B 0.9C

Please answer the relative speed between A and B .    Victor's answer is 0.9945C.

 

But According to special relativity, the answer should be u=2^1/2/2 * 0.9c, v=2^1/2​/2 * 0.9c, the last answer is 0.906C.

 

Like I have said many times Newtonian physics is wrong, learn to stop using it, those aren't velocities they are Gammas γ.

Edited March 18, 2020 by VictorMedvil

[TonyYuan2020]

Like I have said many times Newtonian physics is wrong, learn to stop using it, those aren't velocities they are Gammas γ.

According to this theory, A and B go far away from each other. With A as the reference, B's time goes slower, and with B as the reference, A's time goes slower. We'll never know who's slower. When they meet, please tell me whose time is slower? Crazy relativity.

[Vmedvil2]

According to this theory, A and B go far away from each other. With A as the reference, B's time goes slower, and with B as the reference, A's time goes slower. We'll never know who's slower. When they meet, please tell me whose time is slower? Crazy relativity.

I am done with you crank, go bother someone else.

[TonyYuan2020]

Like I have said many times Newtonian physics is wrong, learn to stop using it, those aren't velocities they are Gammas γ.

 

I'll give Janus the last shot in a minute.

 

I'm waiting for his YES.

Edited March 18, 2020 by TonyYuan2020