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Space travel under constant acceleration

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762:, written by John G. Hemry under the pen name Jack Campbell, is a military science fiction series which various ships of all sizes utilize constant acceleration propulsion to travel distances within star systems. Taking into account relativistic effects on space combat, communication, and timing, the ships work in various formations to maximize firepower while minimizing damage taken. The series also features the use of Jump Drives for travel between stars using gravitational jump points as well as the use of Hypernets, which utilizes quantum entanglement and probability wave principles for long distance travel between massively constructed gates. 904: 117: 104:
Constant-thrust and constant-acceleration trajectories both involve a spacecraft firing its engine continuously. In a constant-thrust trajectory, the vehicle's acceleration increases during thrusting period, since the use of fuel decreases the vehicle mass. If, instead of constant thrust, the vehicle
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From the frame of reference of those on the ship the acceleration will not change as the journey goes on. Instead the planetary reference frame will look more and more relativistic. This means that for voyagers on the ship the journey will appear to be much shorter than what planetary observers see.
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constant acceleration, it will appear to get near the speed of light in about a year, and have traveled about half a light year in distance. For the middle of the journey the ship's speed will be roughly the speed of light, and it will slow down again to zero over a year at the end of the journey.
427:. This means that the effects of relativity will become important. The most important effect is that time will appear to pass at different rates in the ship frame and the planetary frame, and this means that the ship's speed and journey time will appear different in the two frames. 754:, features a crewed Moon rocket with an unspecified 'atomic rocket motor'. The ship constantly accelerates from takeoff to provide occupants with consistent gravity, until a mid-way point is reached where the ship is turned around to constantly decelerate towards the Moon. 622:, with superseded antimatter powered constant acceleration drives. The effects of relativistic travel are an important plot point in several stories, informing the psychologies and politics of the lighthuggers' "ultranaut" crews for example. 464: 399:
approach — will lose efficiency as the space craft's speed increases relative to the planetary reference. This happens because the fuel must be accelerated to the spaceship's velocity before its energy can be extracted, and that will cut the
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A second big issue facing ships using constant acceleration for interstellar travel is colliding with matter and radiation while en route. In mid-journey any such impact will be at near light speed, so the result will be dramatic.
277: 522:" is a science fiction short story by Robert A. Heinlein, first published 1953. In the story, a torchship pilot lights out from Earth orbit to Pluto on a mission to deliver a cure to a plague ravaging a research station. 363: 411:. If the near-light-speed space craft is interacting with matter that is moving slowly in the planetary reference frame, this will cause drag which will bleed off a portion of the engine's acceleration. 455:, will be the distance in light years to the destination, plus 1 year. This rule of thumb will give answers that are slightly shorter than the exact calculated answer, but reasonably accurate. 605:, interstellar travel is achieved by converting a small asteroid into a constant acceleration spacecraft. Force is applied by ion engines fed with material mined from the asteroid itself. 387:
Drawing propulsion energy from the environment as the ship passes through it (the sailing ship approach). One hypothetical sailing ship approach is discovering something equivalent to the
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From the planetary frame of reference, the ship's speed will appear to be limited by the speed of light — it can approach the speed of light, but never reach it. If a ship is using 1
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The spacecraft must flip its orientation halfway through the journey and decelerate the rest of the way, if it is required to rendezvous with its destination (as opposed to a flyby).
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If a space ship is using constant acceleration over interstellar distances, it will approach the speed of light for the middle part of its journey when viewed from the planetary
483:, a rocket could travel the diameter of our galaxy in about 12 years ship time, and about 113,000 years planetary time. If the last half of the trip involves deceleration at 1 467:
Plot of velocity parameters and times on the horizontal axis, versus position on the vertical axis, for an accelerated twin roundtrip to a destination with Δx
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toward its destination, and for the second half of the journey it would constantly decelerate the spaceship. Constant acceleration could be used to achieve
487:, the trip would take about 24 years. If the trip is merely to the nearest star, with deceleration the last half of the way, it would take 3.6 years. 651:" features an "asymptotic drive", which utilises a microscopic black hole and hydrogen propellant, to achieve a similar acceleration travelling from 551:
make extensive use of constant acceleration; they require elaborate safety equipment to keep their occupants alive at high acceleration (up to 25
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A limitation of constant acceleration is adequate fuel. Constant acceleration is only feasible with the development of fuels with a much higher
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Higher efficiency fuel (the motor ship approach). Two possibilities for the motor ship approach are nuclear and matter–antimatter based fuels.
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Calculations for Science Fiction Writers/Space Travel with Constant Acceleration - The Nonrelativistic Case
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make use of constant acceleration drives, which also provide artificial gravity for the occupants.
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and back in 150 years ships time (most of it in cold sleep), but 3 million years passes on Earth.
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can travel vast distances, although is limited by the mass of any propellant it carries.
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are possible if the crew is drugged with gravanol to counteract the effects of the
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Explorations in Mathematical Physics: The Concepts Behind an Elegant Language
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Misner, Charles W.; Kip S. Thorne; John Archibald Wheeler (September 1973).
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Trajectories with Constant Tangential Thrust in Central Gravitational Fields
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even when "at rest" to provide humans with a comfortable level of gravity.
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has constant acceleration, the engine thrust decreases during the journey.
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Edwin F. Taylor & John Archibald Wheeler (1966 - first edition only)
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stories are all constant acceleration ships. Normal acceleration is 1
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There are two broad approaches to higher specific impulse propulsion:
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A spaceship using significant constant acceleration will approach the
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saga utilize a constant acceleration drive that can accelerate at 1
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between wind and water which allows sails to propel a sailing ship.
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Doing Physics with Scientific Notebook: A Problem Solving Approach
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This article incorporates text from this source, which is in the
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Special Relativity for Beginners: A Textbook for Undergraduates
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Under the same circumstances, the time elapsed on Earth (the
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C. Lagoute and E. Davoust (1995) The interstellar traveler,
901:, NASA Lewis Research Center, 1960 (accessed 26 March 2014) 810:(illustrated ed.). John Wiley & Sons. p. 382. 932:, Chapter 1, Exercise 51, pp. 97–98: "Clock paradox III" ( 570:, Earth uses constant acceleration drives in the form of 538:, has a spaceship using a constant acceleration drive. 68:. This mode of travel has yet to be used in practice. 443:
As a rule of thumb, for a constant acceleration at 1
302: 193: 91:, potentially sparing passengers from the effects of 293:) as a function of the traveler's time is given by: 471:=10c/α ~10 light years away if α~9.8 m/s. 722:, the protagonist's spaceship uses a constant 1.5 357: 271: 584:, Jerome Branch Corbell (for himself), "takes" a 152:Expressions for covered distance and elapsed time 64:, making it a potential means of achieving human 76:Constant acceleration has two main advantages: 837:Relativistic Flight Mechanics and Space Travel 726:acceleration spin drive to travel between the 643:, is capable of constant acceleration at 0.2 80:It is the fastest form of interplanetary and 8: 1076:. Greenleaf Publishing Company. p. 164. 100:Constant thrust versus constant acceleration 1056:. Astounding Science Fiction. p. 49. 334: 318: 301: 237: 215: 209: 192: 658:The UET and Hidden Worlds spaceships of 31:Space travel under constant acceleration 18:Space travel using constant acceleration 771: 162:The distance traveled, under constant 124:(10 m/s or about 1.0 ly/y) "felt" or 7: 1039:Baez, UCR, "The relativistic rocket" 451:), the journey time, as measured on 395:Picking up fuel along the way — the 120:This plot shows a ship capable of 1- 647:under full thrust. Clarke's novel " 25: 41:system that generates a constant 902: 870:. World Scientific. p. 99. 704:to transport astronauts between 479:At a constant acceleration of 1 180:at constant proper acceleration 840:. Springer Nature. p. 33. 578:. In the non-known space novel 1050:Smith, George O. (1942–1945). 924:(W.H. Freeman, San Francisco) 312: 306: 203: 197: 158:Hyperbolic motion (relativity) 1: 574:to help colonize the nearest 419:Interstellar traveling speeds 27:Proposed mode of space travel 1070:Heinlein, Robert A. (1953). 72:Constant-acceleration drives 33:is a hypothetical method of 981:Extract of page 242 (where 37:that involves the use of a 1125: 834:Richard F. Tinder (2022). 779:Haloupek, William (2013). 750:series of comic albums by 377:than presently available. 155: 639:, using a muon-catalyzed 566:universe, constructed by 431:Planetary reference frame 52:produced by traditional 804:Joseph Gallant (2012). 700:uses a constant thrust 670:or even a little more. 555:), and accelerate at 1 286:is the speed of light. 45:rather than the short, 864:J rgen Freund (2008). 783:. Smashwords Edition. 472: 389:parallelogram of force 359: 273: 129: 899:Technical Report R-63 743:Explorers on the Moon 466: 360: 274: 119: 748:Adventures of Tintin 532:hard science fiction 459:Ship reference frame 300: 191: 1094:Interstellar travel 823:Extract of page 382 628:2061: Odyssey Three 581:A World Out of Time 407:A related issue is 168:coordinate distance 164:proper acceleration 126:proper acceleration 112:Interstellar travel 87:It creates its own 82:interstellar travel 66:interstellar travel 62:relativistic speeds 1104:Special relativity 1099:Space colonization 1059:Extract of page 49 962:Koks, Don (2006). 883:Extract of page 99 853:Extract of page 33 603:Mary Doria Russell 495:The spacecraft of 473: 425:frame of reference 355: 269: 184:. It is given by: 144:effects including 142:special relativity 130: 89:artificial gravity 1053:Venus Equilateral 1014:. 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Smith 493: 470: 461: 433: 421: 402:fuel efficiency 371: 336: 298: 297: 291:coordinate time 239: 230: 226: 211: 189: 188: 160: 154: 114: 102: 74: 28: 23: 22: 15: 12: 11: 5: 1122: 1120: 1112: 1111: 1106: 1101: 1096: 1086: 1085: 1080: 1079: 1062: 1042: 1031: 1024: 1000: 994: 974: 954: 938: 913: 886: 876: 856: 846: 826: 816: 796: 789: 770: 769: 767: 764: 759:The Lost Fleet 649:Imperial Earth 545:'s 1974 novel 541:Spacecraft in 492: 489: 468: 460: 457: 432: 429: 420: 417: 404:dramatically. 393: 392: 385: 370: 367: 366: 365: 354: 349: 345: 339: 333: 330: 325: 322: 317: 314: 311: 308: 305: 280: 279: 268: 264: 260: 257: 252: 248: 242: 236: 233: 229: 223: 218: 214: 208: 205: 202: 199: 196: 156:Main article: 153: 150: 140:distances, so 134:speed of light 113: 110: 101: 98: 97: 96: 85: 73: 70: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 1121: 1110: 1107: 1105: 1102: 1100: 1097: 1095: 1092: 1091: 1089: 1075: 1074: 1066: 1063: 1060: 1055: 1054: 1046: 1043: 1040: 1035: 1032: 1027: 1025:0-7167-0344-0 1021: 1017: 1016:W. 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Index

Space travel using constant acceleration
space travel
propulsion
acceleration
impulsive
thrusts
chemical rockets
spacecraft
relativistic speeds
interstellar travel
interstellar travel
artificial gravity
microgravity

proper acceleration
speed of light
interstellar
special relativity
time dilation
Hyperbolic motion (relativity)
proper acceleration
coordinate distance
proper time
coordinate time
specific impulse
parallelogram of force
ramjet
fuel efficiency
drag
frame of reference

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