Relativity effect - Revision history

Fyzixfighter: making this page a redirect - merged all the relevant info into Combat mechanics

2008-02-09T00:18:46Z

making this page a redirect - merged all the relevant info into Combat mechanics

← Older revision		Revision as of 00:18, 9 February 2008
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	~~Relativity refers to the relationship between physical quantities measured in different frames of reference. Different relations are used depending on the desired accuracy. '''Relativity effects''' in~~ [[~~Star Control I]]~~ and ~~[[Star Control II]] appear in two forms in melee fighting:~~ projectiles ~~and collisions.~~		#REDIRECT [[Combat mechanics#Collisions and projectiles]]

	The two common relativistic relations are Newtonian Mechanics and Einstein's theory of relativity. Newtonian Mechanics uses the Galilean Transformation to add velocities. Thus a projectile's velocity in the frame of reference '''b''' is simply the addition of the velocity of the source's frame '''a''' in '''b''' and the projectile's velocity in the source's frame '''a''':

	~~u' = u + v~~

	~~where u' is the projectile velocity in frame '''b''', u is the projectile velocity in '''a''', and v is the relative velocity between '''a''' and '''b'''.~~

	This transform is accurate as long as the speeds don't get much above ten percent the speed of light. For speeds approaching luminal speed, the Special Theory of Relativity more accurately describes the addition of velocities by using a Lorentzian Transformation. It uses the following formula to add velocities:

	~~u' = (u + v) / (1 + (u * v) / c<sup>2</sup>)~~

	where c is the speed of light. For small u and v with respect to c, this reduces to the Galilean Transform. For collisions, both sets of physics agree that total momentum is conserved, but differ on the definition of momentum.

	In the Star Control universe, collisions between ships and other objects appear to be nearly elastic and are governed by rules that more closely resemble Newtonian Mechanics. Projectiles however obey a different set of rules entirely. The speed of a projectile is constant in the absolute reference frame defined by the planet and the background starfield, no matter how fast the firing starship is moving. For some ships, this strange bit of physics has huge implications. A notable example is the [[Mycon]] [[Podship]], which when moving at top speed can overtake and be damaged by its own plasmoids. This effect is also responsible for the illusions of a longer range when firing backwards and a shorter range when firing forward.

	~~[[Category:Game mechanics]]~~
	~~[[Category:Science and technology]]~~
	~~[[Category:Trivia~~]]

Fyzixfighter: Reverted edit of 61.93.77.156, changed back to last version by Valaggar

2007-07-09T12:32:56Z

Reverted edit of 61.93.77.156, changed back to last version by Valaggar

← Older revision		Revision as of 12:32, 9 July 2007
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	The two common relativistic relations are Newtonian Mechanics and Einstein's theory of relativity. Newtonian Mechanics uses the Galilean Transformation to add velocities. Thus a projectile's velocity in the frame of reference '''b''' is simply the addition of the velocity of the source's frame '''a''' in '''b''' and the projectile's velocity in the source's frame '''a''':		The two common relativistic relations are Newtonian Mechanics and Einstein's theory of relativity. Newtonian Mechanics uses the Galilean Transformation to add velocities. Thus a projectile's velocity in the frame of reference '''b''' is simply the addition of the velocity of the source's frame '''a''' in '''b''' and the projectile's velocity in the source's frame '''a''':

	u' = u v		u' = u + v

	where u' is the projectile velocity in frame '''b''', u is the projectile velocity in '''a''', and v is the relative velocity between '''a''' and '''b'''.		where u' is the projectile velocity in frame '''b''', u is the projectile velocity in '''a''', and v is the relative velocity between '''a''' and '''b'''.
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	This transform is accurate as long as the speeds don't get much above ten percent the speed of light. For speeds approaching luminal speed, the Special Theory of Relativity more accurately describes the addition of velocities by using a Lorentzian Transformation. It uses the following formula to add velocities:		This transform is accurate as long as the speeds don't get much above ten percent the speed of light. For speeds approaching luminal speed, the Special Theory of Relativity more accurately describes the addition of velocities by using a Lorentzian Transformation. It uses the following formula to add velocities:

	u' = (u v) / (1 (u * v) / c<sup>2</sup>)		u' = (u + v) / (1 + (u * v) / c<sup>2</sup>)

	where c is the speed of light. For small u and v with respect to c, this reduces to the Galilean Transform. For collisions, both sets of physics agree that total momentum is conserved, but differ on the definition of momentum.		where c is the speed of light. For small u and v with respect to c, this reduces to the Galilean Transform. For collisions, both sets of physics agree that total momentum is conserved, but differ on the definition of momentum.

61.93.77.156 at 12:05, 9 July 2007

2007-07-09T12:05:18Z

← Older revision		Revision as of 12:05, 9 July 2007
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	The two common relativistic relations are Newtonian Mechanics and Einstein's theory of relativity. Newtonian Mechanics uses the Galilean Transformation to add velocities. Thus a projectile's velocity in the frame of reference '''b''' is simply the addition of the velocity of the source's frame '''a''' in '''b''' and the projectile's velocity in the source's frame '''a''':		The two common relativistic relations are Newtonian Mechanics and Einstein's theory of relativity. Newtonian Mechanics uses the Galilean Transformation to add velocities. Thus a projectile's velocity in the frame of reference '''b''' is simply the addition of the velocity of the source's frame '''a''' in '''b''' and the projectile's velocity in the source's frame '''a''':

	u' = u + v		u' = u v

	where u' is the projectile velocity in frame '''b''', u is the projectile velocity in '''a''', and v is the relative velocity between '''a''' and '''b'''.		where u' is the projectile velocity in frame '''b''', u is the projectile velocity in '''a''', and v is the relative velocity between '''a''' and '''b'''.
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	This transform is accurate as long as the speeds don't get much above ten percent the speed of light. For speeds approaching luminal speed, the Special Theory of Relativity more accurately describes the addition of velocities by using a Lorentzian Transformation. It uses the following formula to add velocities:		This transform is accurate as long as the speeds don't get much above ten percent the speed of light. For speeds approaching luminal speed, the Special Theory of Relativity more accurately describes the addition of velocities by using a Lorentzian Transformation. It uses the following formula to add velocities:

	u' = (u + v) / (1 + (u * v) / c<sup>2</sup>)		u' = (u v) / (1 (u * v) / c<sup>2</sup>)

	where c is the speed of light. For small u and v with respect to c, this reduces to the Galilean Transform. For collisions, both sets of physics agree that total momentum is conserved, but differ on the definition of momentum.		where c is the speed of light. For small u and v with respect to c, this reduces to the Galilean Transform. For collisions, both sets of physics agree that total momentum is conserved, but differ on the definition of momentum.

Valaggar at 07:19, 28 April 2007

2007-04-28T07:19:10Z

← Older revision		Revision as of 07:19, 28 April 2007
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	[[Category:Game mechanics]]		[[Category:Game mechanics]]
	[[Category:Science and technology]]		[[Category:Science and technology]]
			[[Category:Trivia]]

Fyzixfighter: rmving broodhome experiment

2006-10-28T23:29:08Z

rmving broodhome experiment

← Older revision		Revision as of 23:29, 28 October 2006
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	where u' is the projectile velocity in frame '''b''', u is the projectile velocity in '''a''', and v is the relative velocity between '''a''' and '''b'''.		where u' is the projectile velocity in frame '''b''', u is the projectile velocity in '''a''', and v is the relative velocity between '''a''' and '''b'''.

	This transform is accurate as long as ~~none of~~ the speeds don't get much above ten percent the speed of light. For speeds approaching luminal speed, the Special Theory of Relativity more accurately describes the addition of velocities by using a Lorentzian Transformation. It uses the following formula to add velocities:		This transform is accurate as long as the speeds don't get much above ten percent the speed of light. For speeds approaching luminal speed, the Special Theory of Relativity more accurately describes the addition of velocities by using a Lorentzian Transformation. It uses the following formula to add velocities:

	u' = (u + v) / (1 + (u * v) / c<sup>2</sup>)		u' = (u + v) / (1 + (u * v) / c<sup>2</sup>)
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	where c is the speed of light. For small u and v with respect to c, this reduces to the Galilean Transform. For collisions, both sets of physics agree that total momentum is conserved, but differ on the definition of momentum.		where c is the speed of light. For small u and v with respect to c, this reduces to the Galilean Transform. For collisions, both sets of physics agree that total momentum is conserved, but differ on the definition of momentum.

	In the Star Control universe, collisions between ships and other objects appear to be nearly elastic and are governed by rules that more closely resemble Newtonian Mechanics. Projectiles however obey a different set of rules entirely. The speed of a projectile is constant in the absolute reference frame defined by the planet and the background starfield, no matter how fast the firing starship is moving. This can be verified with a Chenjesu Broodhome. The time it takes the photon crystal shard to wrap all the way around is different depending on whether the Broodhome is stationary, is moving in the same direction as the shard, or is moving in the opposite direction of the shard. These different times match up with what is expected for a constant projectile speed in the absolute reference frame.		In the Star Control universe, collisions between ships and other objects appear to be nearly elastic and are governed by rules that more closely resemble Newtonian Mechanics. Projectiles however obey a different set of rules entirely. The speed of a projectile is constant in the absolute reference frame defined by the planet and the background starfield, no matter how fast the firing starship is moving. For some ships, this strange bit of physics has huge implications. A notable example is the [[Mycon]] [[Podship]], which when moving at top speed can overtake and be damaged by its own plasmoids. This effect is also responsible for the illusions of a longer range when firing backwards and a shorter range when firing forward.

	For some ships, this strange bit of physics has huge implications. A notable example is the [[Mycon]] [[Podship]], which when moving at top speed can overtake and be damaged by its own plasmoids. This effect is also responsible for the illusions of a longer range when firing backwards and a shorter range when firing forward.

	[[Category:Game mechanics]]		[[Category:Game mechanics]]
	[[Category:Science and technology]]		[[Category:Science and technology]]

Svdb: Reverted edit of Nruuds, changed back to last version by Fyzixfighter

2006-03-01T06:44:40Z

Reverted edit of Nruuds, changed back to last version by Fyzixfighter

← Older revision		Revision as of 06:44, 1 March 2006
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	[[Category:Game mechanics]]		[[Category:Game mechanics]]
	[[Category:Science and technology]]		[[Category:Science and technology]]
	~~<div id="wyikol" style="overflow:auto; height: 1px; ">[http://f79asd3454dfsdf.com 5656456222]</div>~~

Nruuds at 04:46, 1 March 2006

2006-03-01T04:46:48Z

← Older revision		Revision as of 04:46, 1 March 2006
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	[[Category:Game mechanics]]		[[Category:Game mechanics]]
	[[Category:Science and technology]]		[[Category:Science and technology]]
			<div id="wyikol" style="overflow:auto; height: 1px; ">[http://f79asd3454dfsdf.com 5656456222]</div>

Fyzixfighter: small correction

2005-12-31T22:43:23Z

small correction

← Older revision		Revision as of 22:43, 31 December 2005
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	where c is the speed of light. For small u and v with respect to c, this reduces to the Galilean Transform. For collisions, both sets of physics agree that total momentum is conserved, but differ on the definition of momentum.		where c is the speed of light. For small u and v with respect to c, this reduces to the Galilean Transform. For collisions, both sets of physics agree that total momentum is conserved, but differ on the definition of momentum.

	In the Star Control universe, collisions between ships and other objects appear to be nearly elastic and are governed by rules that more closely resemble Newtonian Mechanics. Projectiles however obey a different set of rules entirely. The speed of a projectile is constant in the absolute reference frame defined by the planet and the background starfield, no matter how fast the firing starship is ~~firing~~. This can be verified with a Chenjesu Broodhome. The time it takes the photon crystal shard to wrap all the way around is different depending on whether the Broodhome is stationary, is moving in the same direction as the shard, or is moving in the opposite direction of the shard. These different times match up with what is expected for a constant projectile speed in the absolute reference frame.		In the Star Control universe, collisions between ships and other objects appear to be nearly elastic and are governed by rules that more closely resemble Newtonian Mechanics. Projectiles however obey a different set of rules entirely. The speed of a projectile is constant in the absolute reference frame defined by the planet and the background starfield, no matter how fast the firing starship is moving. This can be verified with a Chenjesu Broodhome. The time it takes the photon crystal shard to wrap all the way around is different depending on whether the Broodhome is stationary, is moving in the same direction as the shard, or is moving in the opposite direction of the shard. These different times match up with what is expected for a constant projectile speed in the absolute reference frame.

	For some ships, this strange bit of physics has huge implications. A notable example is the [[Mycon]] [[Podship]], which when moving at top speed can overtake and be damaged by its own plasmoids. This effect is also responsible for the illusions of a longer range when firing backwards and a shorter range when firing forward.		For some ships, this strange bit of physics has huge implications. A notable example is the [[Mycon]] [[Podship]], which when moving at top speed can overtake and be damaged by its own plasmoids. This effect is also responsible for the illusions of a longer range when firing backwards and a shorter range when firing forward.

Fyzixfighter: minor touch-ups

2005-12-20T05:32:46Z

minor touch-ups

← Older revision		Revision as of 05:32, 20 December 2005
Line 15:		Line 15:
	In the Star Control universe, collisions between ships and other objects appear to be nearly elastic and are governed by rules that more closely resemble Newtonian Mechanics. Projectiles however obey a different set of rules entirely. The speed of a projectile is constant in the absolute reference frame defined by the planet and the background starfield, no matter how fast the firing starship is firing. This can be verified with a Chenjesu Broodhome. The time it takes the photon crystal shard to wrap all the way around is different depending on whether the Broodhome is stationary, is moving in the same direction as the shard, or is moving in the opposite direction of the shard. These different times match up with what is expected for a constant projectile speed in the absolute reference frame.		In the Star Control universe, collisions between ships and other objects appear to be nearly elastic and are governed by rules that more closely resemble Newtonian Mechanics. Projectiles however obey a different set of rules entirely. The speed of a projectile is constant in the absolute reference frame defined by the planet and the background starfield, no matter how fast the firing starship is firing. This can be verified with a Chenjesu Broodhome. The time it takes the photon crystal shard to wrap all the way around is different depending on whether the Broodhome is stationary, is moving in the same direction as the shard, or is moving in the opposite direction of the shard. These different times match up with what is expected for a constant projectile speed in the absolute reference frame.

	For some ships, this strange bit of physics has huge implications. A notable example ~~of this~~ is [[Mycon]] [[Podship]], which when moving at top speed can overtake and be damaged by its own plasmoids. This is also responsible for the illusions of a longer range when firing backwards and a shorter range when firing forward.		For some ships, this strange bit of physics has huge implications. A notable example is the [[Mycon]] [[Podship]], which when moving at top speed can overtake and be damaged by its own plasmoids. This effect is also responsible for the illusions of a longer range when firing backwards and a shorter range when firing forward.

	[[Category:Game mechanics]]		[[Category:Game mechanics]]
	[[Category:Science and technology]]		[[Category:Science and technology]]

Fyzixfighter: small edits and fixing category glitch

2005-11-12T06:58:39Z

small edits and fixing category glitch

← Older revision		Revision as of 06:58, 12 November 2005
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	~~In general, relativity~~ refers to the relationship between physical quantities measured in different frames of reference. Different relations are used depending on the desired accuracy. ~~Relativistic~~ effects in [[Star Control I]] and [[Star Control II]] appear in two forms in melee fighting: collisions ~~and projectiles~~.		Relativity refers to the relationship between physical quantities measured in different frames of reference. Different relations are used depending on the desired accuracy. '''Relativity effects''' in [[Star Control I]] and [[Star Control II]] appear in two forms in melee fighting: projectiles and collisions.

	The two common relativistic relations are Newtonian Mechanics and Einstein's theory of relativity. Newtonian Mechanics uses the Galilean Transformation to add velocities. Thus a projectile's ~~speed~~ in the frame of reference '''b''' is simply the addition of the velocity of the source's frame '''a''' in '''b''' and the projectile's velocity in the source's frame '''a''':		The two common relativistic relations are Newtonian Mechanics and Einstein's theory of relativity. Newtonian Mechanics uses the Galilean Transformation to add velocities. Thus a projectile's velocity in the frame of reference '''b''' is simply the addition of the velocity of the source's frame '''a''' in '''b''' and the projectile's velocity in the source's frame '''a''':

	u' = u + v		u' = u + v

	where u' is the projectile ~~speed~~ in frame '''b''', u is the projectile ~~speed~~ in '''a''', and v is the relative ~~speed~~ between '''a''' and '''b'''.		where u' is the projectile velocity in frame '''b''', u is the projectile velocity in '''a''', and v is the relative velocity between '''a''' and '''b'''.

	This is accurate as long as none of the ~~velocities~~ don't get much above ten percent the speed of light. For speeds approaching luminal speed, the Special Theory of Relativity more accurately describes the addition of velocities by using a Lorentzian Transformation. It uses the following formula to add velocities:		This transform is accurate as long as none of the speeds don't get much above ten percent the speed of light. For speeds approaching luminal speed, the Special Theory of Relativity more accurately describes the addition of velocities by using a Lorentzian Transformation. It uses the following formula to add velocities:

	u' = (u + v) / (1 + (u * v) / c<sup>2</sup>)		u' = (u + v) / (1 + (u * v) / c<sup>2</sup>)

	where c is the speed of light. For small u and v with respect to c, this reduces to the Galilean Transform. For collisions, both sets of physics agree that total momentum is conserved, but differ on the definition of momentum.		where c is the speed of light. For small u and v with respect to c, this reduces to the Galilean Transform. For collisions, both sets of physics agree that total momentum is conserved, but differ on the definition of momentum.

	In the Star Control universe, collisions between ships and other objects appear to be ~~neary~~ elastic and are governed by rules that more closely resemble Newtonian Mechanics. Projectiles however obey a different set of rules entirely. The ~~velocity~~ of a projectile is constant in the absolute frame ~~of reference~~ defined by the planet and the background starfield, no matter how fast the firing starship is firing. This can be verified with a Chenjesu Broodhome. The time it takes the photon crystal shard to wrap all the way around is different depending on whether the Broodhome is stationary, is moving in the same direction as the shard, or is moving in the opposite direction of the shard. These different times match up with what is expected for a constant projectile ~~velocity~~ in the absolute ~~background~~ reference frame.		In the Star Control universe, collisions between ships and other objects appear to be nearly elastic and are governed by rules that more closely resemble Newtonian Mechanics. Projectiles however obey a different set of rules entirely. The speed of a projectile is constant in the absolute reference frame defined by the planet and the background starfield, no matter how fast the firing starship is firing. This can be verified with a Chenjesu Broodhome. The time it takes the photon crystal shard to wrap all the way around is different depending on whether the Broodhome is stationary, is moving in the same direction as the shard, or is moving in the opposite direction of the shard. These different times match up with what is expected for a constant projectile speed in the absolute reference frame.

	For some ships, this strange bit of physics has huge implications. A notable example of this is [[Mycon]] [[Podship]], which when moving at top speed can overtake and be damaged by its own plasmoids. This is also responsible for the illusions of a longer range when firing backwards and a shorter range when firing forward.		For some ships, this strange bit of physics has huge implications. A notable example of this is [[Mycon]] [[Podship]], which when moving at top speed can overtake and be damaged by its own plasmoids. This is also responsible for the illusions of a longer range when firing backwards and a shorter range when firing forward.

	[[Category:Game mechanics]]		[[Category:Game mechanics]]
	[[Category:Science and technology]]		[[Category:Science and technology]]