Bibliography for Projectile Motion

unabridged

  1. Projectile Motion with Resistance and the Lambert W Function
    Edward W. Packel and David S. Yuen
    College Mathematics Journal, Vol. 35, No. 5, (November 2004), pp. 337-350.
  2. Baseball Outfielders Maintain a Linear Optical Trajectory When Tracking Uncatchable Fly Balls
    Shaffer, D. M.; McBeath, M. K.
    Journal of Experimental Psychology Human Perception and Performance, 2002, vol. 28, no. 2, pp. 335-348, Ingenta.  
  3. Analysis on three body motion of parachute-projectile systems
    Shu, J.-r.; Wan, B.-g.; Han, Z.-p.; Lu, C.-m.
    Acta Aeronautica et Astronautica Sinica, 2001, vol. 22, no. 6, pp. 481-485, Ingenta.   
  4. A note on the stability of motion of a projectile
    Naik, S. D.
    Sadhana, 2001, vol. 26, no. 4, pp. 379-385, Ingenta.   
  5. Teaching Newton's Laws Before Projectile Motion
    Hsu, L.
    Physics Teacher, 2001, vol. 39, no. 4, pp. 206-209, Ingenta.   
  6. A Toy Airplane for Projectile-Motion Experiments
    Wetherhold, J.
    Physics Teacher, 2001, vol. 39, no. 2, pp. 116-119, Ingenta.   
  7. Projectile Motion with Mathematica  
    Author: de Alwis, Tilak
    International Journal of Mathematical Education in Science and Technology v31 n5 p749-55 Sep-Oct 2000, ERIC.  
  8. A Web-based Video Digitizing System for the Study of Projectile Motion.
    Chow, John W.; Carlton, Les G.; Hay, James G.
    Physics Teacher, 2000, vol. 38, no. 1, pp. 37, Ingenta.   
  9. Projectile Motion in Special Relativity.
    Naddy, Cory J.; Dudley, Scott C.; Haaland, Ryan K.
    Physics Teacher, 2000, vol. 38, no. 1, pp. 27-29, Ingenta.   
  10. The Magic Angles of Projectile Motion
    Sarafian, H.
    Mathematica in Education and Research, 2000, vol. 9, no. 3/4, pp. 20-26, Ingenta.   
  11. Another Look at Projectile Motion
    Hu, H.; Yu, J.
    Physics Teacher, 2000, vol. 38, no. 7, pp. 423, Ingenta.   
  12. More on Projectile Motion.
    Molina, M.I.
    Physics Teacher, 2000, vol. 38, no. 2, pp. 90, Ingenta.   
  13. An efficient method for continuous measurement of projectile motion in ballistic impact experiments.
    Starratt, D.; Cepus, E.; Vaziri, R.
    International journal of impact engineering, 2000, vol. 24, no. 2, pp. 155, Ingenta.   
  14. The Velocity Dependence of Aerodynamic Drag: A Primer for Mathematicians  
    Long,Lyle N.; Weiss,Howard
    Amer. Math. Monthly 106 (Feb. 1999), no.2, 127--135, MathSciNet.  
  15. Maximizing the Arclength in the Cannonball Problem  
    Ze-Li Dou  
    College Math Journal: Volume 30, Number 1, (1999), Pages: 44-45.
  16. Angular Motion Effects on Kinetic Energy Projectile Performance.
    Schmidt, E. M.
    Journal of Spacecraft and Rockets, 1999, vol. 36, no. 2, pp. 292, Ingenta.   
  17. Solving an "Unsolvable" Projectile-Motion Problem.
    Montalvo, David
    The Physics teacher, 1999, vol. 37, no. 4, pp. 226, Ingenta.   
  18. On Projectile Motion.
    Sarafian, Haiduke
    The Physics teacher, 1999, vol. 37, no. 2, pp. 86, Ingenta.   
  19. Modelling the projectile motion of a cricket ball  
    Coutis, Peter
    Internat. J. Math. Ed. Sci. Tech. 29 (1998), no. 6, 789--798, MathSciNet.  
  20. Approximate trajectories for projectile motion with air resistance.
    Deakin, Michael A. B.; Troup, G. J.
    American journal of physics, 1998, vol. 66, no. 1, pp. 34 , Ingenta.  
  21. Unsteady flow computations on a flying projectile within a ballistic range.
    Takakura, Yoko; Higashino, Fumio; Ogawa, Satoru
    Computers and fluids, 1998, vol. 27, no. 5/6, pp. 645, Ingenta.   
  22. How Galileo solved the problem of maximum projectile range without the calculus.
    Erlichson, H.
    European journal of physics, 1998, vol. 19, no. 3, pp. 251, Ingenta.   
  23. Chaos in Wraparound Fin Projectile Motion.
    Asrar, W.; Baig, M.F.; Khan, S.A.
    Journal of guidance, control, and dynamics, 1998, vol. 21, no. 2, pp. 354, Ingenta.   
  24. Electrical Analog to Projectile Motion.
    Vondracek, Mark
    The Physics teacher, 1998, vol. 36, no. 4, pp. 224, Ingenta.   
  25. Halley's Comment---Projectiles With Linear Resistance  
    C.W. Groetsch and Barry Cipra  
    Mathematics Magazine: Volume 70, Number 4, (1997), Pages: 273-280.
  26. Halley's Gunnery Rule  
    C. W. Groetsch  
    College Math Journal: Volume 28, Number 1, (1997), Pages: 47-50.
  27. A Mathematician Catches a Baseball  
    Edward Aboufadel  
    American Mathematical Monthly, Vol. 103, No. 10. (Dec., 1996), pp. 870-878, Jstor.  
  28. How Baseball Outfielders Determine Where to Run to Catch Fly Balls (in Reports)  
    Michael K. McBeath, Dennis M. Shaffer, Mary K. Kaiser  
    Science, New Series, Vol. 268, No. 5210. (Apr. 28, 1995), pp. 569-573, Jstor.  
  29. Projectile Motion with Arbitrary Resistance  
    Tilak de Alwis  
    College Math Journal: Volume 26, Number 5, (1995), Pages: 361-367, Ingenta.   
  30. The Oseen Drag at Infinite Reynolds Number  
    A. J. Weisenborn, B. I. M. Ten Bosch  
    SIAM Journal on Applied Mathematics, Vol. 55, No. 5. (Oct., 1995), pp. 1227-1232, Jstor.  
  31. On the Oseen Drag on a Sphere  
    A. J. Weisenborn, B. I. M. Ten Bosch  
    SIAM Journal on Applied Mathematics, Vol. 55, No. 3. (Jun., 1995), pp. 577-592, Jstor.  
  32. Projectile transverse motion and stability in electromagnetic induction launchers.
    Shokair, I. R.
    IEEE transactions on magnetics, 1995, vol. 31, no. 1p1, pp. 504, Ingenta.   
  33. Using the Graphing Calculator--in Two-Dimensional Motion Plots.
    Author: Brueningsen, Chris; Bower, William
    Physics Teacher v33 n5 p314-16 May 1995, ERIC.  
  34. Projectiles: Are They Coming or Going?
    Author: Walker, James S.
    Physics Teacher v33 n5 p282-84 May 1995, ERIC.  
  35. A Progression of Projectiles  
    Roland Minton  
    College Math Journal: Volume 25, Number 5, (1994), Pages: 436-442.
  36. Projectile Motion Details.
    Schnick, Jeffrey W.
    The Physics teacher, 1994, vol. 32, no. 5, pp. 266, Ingenta.   
  37. The Shape of a Projectile's Path: Explorations with a Computer Algebra System  
    Robert Lopez; John Mathews  
    The AMATYC Review, Vol. 14, No. 2, Spring 1993, pp. 38-47.  
  38. Relativistic projectile motion.
    Strnad, J.
    European journal of physics, 1993, vol. 14, no. 1, pp. 14, Ingenta.   
  39. Analytical Approach to the Oseen Drag on a Sphere at Infinite Reynolds Number  
    A. J. Weisenborn, B. I. M. Ten Bosch  
    SIAM Journal on Applied Mathematics, Vol. 53, No. 3. (Jun., 1993), pp. 601-620, Jstor.  
  40. Experimenting with the National Guard: Field Artillery Gunnery.
    Author: Day, Michael A.; Walker, Martin H.
    Physics Teacher v31 n3 p136-43 Mar 1993, ERIC.  
  41. Maximizing the Range of a Projectile.
    Brown, Ronald A.
    The Physics teacher, 1992, vol. 30, no. 6, pp. 344-47, Ingenta.   
  42. Two-point fractional approximants for the motion of a projectile in a resisting medium.
    Martin, P.; Puerta, J.
    European journal of physics, 1991, vol. 12, no. 2, pp. 86, Ingenta.   
  43. Study of Projectile Motion by Angular Momentum and Torque.
    Bagchi, B.; Holody, Paul
    The Physics teacher, 1991, vol. 29, no. 6, pp. 376, Ingenta.   
  44. The Maximum Range of a Projectile in a Vacuum Revisited (in Classroom Notes)  
    Dorothy Browne Shaffer  
    SIAM Review, Vol. 32, No. 2. (Jun., 1990), pp. 289-293, Jstor.  
  45. Mikhailov, G. K.; Filonovich, S. R.
    On the history of the problem on the motion of a free projectile on the rotating Earth. I. (Russian)
    Studies in the history of physics and mechanics, 1990 (Russian), 93--121, "Nauka", Moscow, 1990, MathSciNet.  
  46. The mathematics of projectiles in sport.
    de Mestre, Neville
    Australian Mathematical Society Lecture Series, 6. Cambridge University Press, Cambridge, 1990. xii+175 pp. ISBN: 0-521-39857-6, MathSciNet.  
  47. Dissecting Trajectories: Galileo's Early Experiments on Projectile Motion and the Law of Fall  
    David K. Hill  
    Isis, Vol. 79, No. 4. (Dec., 1988), pp. 646-668, Jstor.  
  48. Dissecting trajectories. Galileo's early experiments on projectile motion and the law of fall.
    Hill, David K.
    Isis 79 (1988), no. 299, 646--668, MathSciNet.  
  49. Varignon ou la théorie du mouvement des projectiles "comprise en une Proposition générale". (French)
    [Varignon, or the theory of the motion of projectiles ``expressed in a General Proposition'']
    Blay, Michel
    Ann. of Sci. 45 (1988), no. 6, 591--618, MathSciNet.  
  50. Le traitement newtonien du mouvement des projectiles dans les milieux résistants. (French)
    Blay, Michel
    [Newton's treatment of the motion of projectiles in resistant media]
    Rev. Histoire Sci. 40 (1987), no. 3-4, 325--355, MathSciNet.  
  51. Le traitement newtonien du mouvement des projectiles dans les milieux résistants. (French)
    [Newton's treatment of the motion of projectiles in resistant media]
    Blay, Michel
    Rev. Histoire Sci. 40 (1987), no. 3-4, 325--355, MathSciNet.  
  52. A computational method for free time optimal control problems, with application to maximizing the range of an aircraft-like projectile.
    Teo, K. L.; Jepps, G.; Moore, E. J.; Hayes, S.
    J. Austral. Math. Soc. Ser. B 28 (1987), no. 3, 393--413, MathSciNet.  
  53. Minimum Value of a Projectile Velocity (in Classroom Notes)  
    Thomas J. Lardner  
    SIAM Review, Vol. 28, No. 3. (Sep., 1986), pp. 385-388, Jstor.  
  54. Projectile Paths Corrected for Recoil and Air Resistance.
    Author: Kemp, H. R.
    Physics Education v21 n1 p19-23 Jan 1986, ERIC.  
  55. The Physics of Kicking a Football.
    Author: Brancazio, Peter J.
    Physics Teacher v23 n7 p403-07 Oct 1985, ERIC.  
  56. Trajectory of a Fly Ball.
    Author: Brancazio, Peter J.
    Physics Teacher v23 n1 p20-23 Jan 1985, ERIC.  
  57. Relativistic Projectile Fragment Interactions: Anomalons (in Reports)  
    Paul J. Karol  
    Science, New Series, Vol. 226, No. 4681. (Dec. 21, 1984), pp. 1425-1427, Jstor.  
  58. Solution of a Conjecture Concerning Air Resistance  
    Colin Wratten  
    Mathematics Magazine: Volume 57, Number 4, (1984), Pages: 225-228.
  59. Projectile Motion in a Resisting Medium: A Computer Simulation  
    Author: Thomas, William E.; Grouws, Douglas A.
    School Science and Mathematics v84 n4 p320-26 Apr 1984, ERIC.  
  60. Flight in an Irrotational Wind Field. II: Problem 82-15 (in Solutions)  
    M. S. Klamkin  
    SIAM Review, Vol. 25, No. 3. (Jul., 1983), pp. 406-407, Jstor.  
  61. What Goes Up Must come Down; Will Air Resistance Make It Return Sooner, or Later?
    John Lekner
    Mathematics Magazine: Volume 55, Number 1, (1982), Pages: 26-28
  62. Galileo's Theory of Projectile Motion  
    R. H. Naylor  
    Isis, Vol. 71, No. 4. (Dec., 1980), pp. 550-570, Jstor.  
  63. Galileo's theory of projectile motion.
    Naylor, R. H.
    Isis 71 (1980), no. 259, 550--570, MathSciNet.  
  64. On Extreme Length Flight Paths (in Classroom Notes in Applied Mathematics)  
    M. S. Klamkin  
    SIAM Review, Vol. 18, No. 3. (Jul., 1976), pp. 486-488, Jstor.  
  65. An Aspect of Galileo's Study of the Parabolic Trajectory (in Notes & Correspondence)  
    Ronald Naylor  
    Isis, Vol. 66, No. 3. (Sep., 1975), pp. 394-396, Jstor.  
  66. Computer Analysis of Projectile Motion
    Author: Rosen, Allen I.
    Physics Teacher 13, 6, 353-354, Sep 75, ERIC.  
  67. Problem 64-3, Escape Velocity with Drag (in Problems)  
    D. J. Newman  
    SIAM Review, Vol. 6, No. 1. (Jan., 1964), pp. 60-61, Jstor.  
  68. Convenient equations for projectile motion.
    Winans, J. Gibson
    Amer. J. Phys. 29 1961 623--626, MathSciNet.  
  69. The motion of a projectile around the earth under the influence of the earth's gravitational attraction and a thrust.
    Magiros, Dem. G.
    Prakt. Akad. Athenon 35 1960 96--103, MathSciNet.  
  70. On the motion of a projectile in the atmosphere.
    Liu, Vi-Cheng
    Z. Angew. Math. Phys. 8 (1957), 76--82, MathSciNet.  
  71. Maximum range of a projectile in vacuum on a spherical earth.
    Blitzer, Leon; Wheelon, Albert D.
    Amer. J. Phys. 25 (1957), 21--24, MathSciNet.  
  72. The linearized equations of motion underlying the dynamic stability of aircraft, spinning projectiles, and symmetrical missiles.
    Charters, A. C.
    NACA Tech. Note 1955, (1955). no. 3350, 102 pp, MathSciNet.  
  73. On the gyroscopic motion of a projectile. (Spanish)
    García, Godofredo
    Actas Acad. Ci. Lima 17, (1954). 51--65, MathSciNet.  
  74. The Non-Euclidean Projectile  
    Fulton, Curtis M.  
    Mathematics Magazine  25 (1952) 143-146. , Jstor.  
  75. Solution of the differential equations of motion of a projectile in a medium of quasi-Newtonian resistance.
    Polachek, Harry
    Quart. Appl. Math. 7, (1949). 275--291, MathSciNet.  
  76. The Trajectory in Vacuo (in Mathematical Notes)  
    J. M. Thomas  
    American Mathematical Monthly, Vol. 54, No. 4. (Apr., 1947), pp. 216-218, Jstor.  
  77. Stability of rotatory motion of a projectile. (Russian)
    Cetajev, N. G.
    Appl. Math. Mech. [Akad. Nauk SSSR. Prikl. Mat. Mech.] 10, (1946). 135--138, MathSciNet.  
  78. Effects of the Earth's Rotation on the Range and Drift of a Projectile (in Discussion)  
    Wm. H. Roever  
    Science, New Series, Vol. 97, No. 2509. (Jan. 29, 1943), pp. 115-116, Jstor.  
  79. Approximate method of solving the non-linear problem for the motion of a rotating projectile. (Russian)
    Pugachev, V. S.
    Appl. Math. Mech. [Akad. Nauk SSSR. Prikl. Mat. Mech.] 7, (1943), 313--324, MathSciNet.  
  80. Concerning the sufficient conditions of the stability of a rotating motion of a projectile. (Russian)
    Cetajev, N. G.
    Appl. Math. Mech. [Akad. Nauk SSSR. Prikl. Mat. Mech.] 7, (1943). 81--96, MathSciNet.  
  81. On the gyroscopic effect in the motion of a projectile.
    García, Godofredo
    Actas Acad. Ci. Lima 5, (1942). 79--86, MathSciNet.  
  82. An Elementary Property of the Trajectory of a Projectile (in Questions, Discussions, and Notes)  
    Guido Fubini  
    American Mathematical Monthly, Vol. 48, No. 6. (Jun. - Jul., 1941), pp. 397-399, Jstor.  
  83. Motion of a projectile in a resisting medium. Some frequently used applications taking into account the resistance of the medium. (Spanish) Larrea Bancayan, Manuel
    Revista Ci., Lima 41, (1939). 691--703, MathSciNet.  
  84. On the Air Resistance of Projectiles  
    Paul S. Epstein  
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 17, No. 9. (Sep. 15, 1931), pp. 532-547, Jstor.  
  85. On the Drift of Spinning Projectiles  
    J. W. Campbell  
    Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, Vol. 106, No. 737. (Sep. 1, 1924), pp. 222-232, Jstor.  
  86. The Motion of a Falling Chronograph Projectile  
    L. Thompson  
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 9, No. 9. (Sep. 15, 1923), pp. 329-334, Jstor.  
  87. Discussions: The Path of a Projectile When the Resistance Varies as the Velocity (in Questions and Discussions)  
    E. L. Rees  
    American Mathematical Monthly, Vol. 27, No. 3. (Mar., 1920), pp. 119-120, Jstor.  
  88. Differential Variations in Ballistics, with Applications to the Qualitative Properties of the Trajectory  
    T. H. Gronwall  
    Transactions of the American Mathematical Society, Vol. 22, No. 4. (Oct., 1921), pp. 505-525, Jstor.  
  89. Qualitative Properties of the Ballistic Trajectory  
    T. H. Gronwall  
    The Annals of Mathematics, 2nd Ser., Vol. 22, No. 1. (Sep., 1920), pp. 44-65, Jstor.  
  90. Means of Measuring the Speed of Projectiles in Flight  
    C. G. Abbot  
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 5, No. 9. (Sep. 15, 1919), pp. 388-389, Jstor.  
  91. Rotating Projectiles from Smooth-Bore Guns  
    C. G. Abbot  
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 5, No. 9. (Sep. 15, 1919), pp. 386-388, Jstor.  
  92. The Flight of a Rifled Projectile in Air  
    J. B. Henderson  
    Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, Vol. 82, No. 555. (Jun. 30, 1909), pp. 314-331, Jstor.  
  93. Effect of a Cross Wind on Rifled Projectiles  
    A. Mallock  
    Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, Vol. 80, No. 542. (Jun. 20, 1908), pp. 595-597, Jstor.  
  94. Note on the Trajectories of Rifled Projectiles with Various Shapes of Head  
    A. Mallock  
    Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, Vol. 80, No. 541. (Jun. 10, 1908), pp. 519-529, Jstor.  
  95. Space Described in a Given Time by a Projectile Moving in Air  
    A. Mallock  
    Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, Vol. 79, No. 530. (Jun. 8, 1907), pp. 274-276, Jstor.  
  96. Ranges and Behaviour of Rifled Projectiles in Air  
    A. Mallock  
    Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, Vol. 79, No. 533. (Sep. 6, 1907), pp. 536-549, Jstor.  
  97. Air Resistance Encountered by Projectiles at Velocities up to 4500 Feet per Second  
    A. Mallock  
    Proceedings of the Royal Society of London, Vol. 74. (1904 - 1905), pp. 267-270, Jstor.  
  98. A General Theory of Projectiles  
    M. E. Graber  
    American Mathematical Monthly, Vol. 10, No. 4. (Apr., 1903), pp. 98-101, Jstor.  
  99. The Motion of a Projectile in a Medium Resisting as the Cube of the Velocity  
    F. P. Matz  
    American Mathematical Monthly, Vol. 9, No. 4. (Apr., 1902), pp. 91-95, Jstor.  
  100. On the Lateral Deviation of Spherical Projectiles  
    Henry T. Eddy  
    American Journal of Mathematics, Vol. 2, No. 1. (Mar., 1879), pp. 85-88, Jstor.  

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2003