Special Relativity

Contents:

• Fundamentals (Special Relativity)
  • Lorentz factor via speed
    • lorentz_factor
    • speed
    • law
• Relativistic Dynamics (Special Relativity)
  • Energy and Momentum (Special Relativity)
    • Relativistic energy—momentum relation
      • total_energy
      • momentum
      • velocity
      • vector_law
      • energy_law
    • Relativistic energy via relativistic mass
      • relativistic_energy
      • relativistic_mass
      • law
    • Total energy via momentum and rest mass
      • relativistic_energy
      • relativistic_momentum
      • invariant_mass
      • law
    • Relativistic kinetic energy via rest mass and Lorentz factor
      • kinetic_energy
      • lorentz_factor
      • rest_mass
      • law
    • Relativistic mass moment
      • mass_moment
      • rest_mass
      • time
      • lorentz_factor
      • position_vector
      • velocity
      • law
    • Relativistic momentum via rest mass and velocity
      • momentum
      • rest_mass
      • velocity
      • momentum_law
      • velocity_law
    • Relativistic momentum via rest mass and speed
      • momentum
      • rest_mass
      • speed
      • law
  • Force and Acceleration (Special Relativity)
    • Relativistic acceleration from relativistic force and velocity
      • acceleration
      • rest_mass
      • force
      • velocity
      • lorentz_factor
      • law
    • Force from acceleration and velocity
      • force
      • rest_mass
      • tangential_acceleration
      • normal_acceleration
      • velocity
      • lorentz_factor
      • law
  • Obsolete Concepts (Special Relativity)
    • Relativistic mass via rest mass and speed
      • relativistic_mass
      • rest_mass
      • speed
      • law
• Relativistic Kinematics
  • Lorentz Transformations
    • Lorentz transformation of coordinate
      • position_in_proper_frame
      • position_in_lab_frame
      • proper_frame_speed_in_lab_frame
      • time_in_lab_frame
      • law
    • Lorentz transformation of time
      • time_in_proper_frame
      • time_in_lab_frame
      • position_in_lab_frame
      • proper_frame_speed_in_lab_frame
      • law
  • Relativistic Effects (Relativistic Kinematics)
    • Proper time for timelike intervals
      • proper_time
      • spacetime_interval
      • law
    • Relativistic length via proper length and speed
      • proper_length
      • speed
      • relativistic_length
      • law
    • Relativistic time dilation
      • proper_time
      • speed
      • relativistic_time
      • law
    • Spacetime interval is Lorentz invariant
      • first_spacetime_interval
      • second_spacetime_interval
      • law
    • Spacetime interval via time and distance
      • spacetime_interval
      • temporal_distance
      • spatial_distance
      • law
  • Relativistic Velocity Addition
    • Relativistic sum of velocities
      • body_speed_in_lab_frame
      • body_speed_in_proper_frame
      • proper_frame_speed_in_lab_frame
      • law
    • Relativistic velocity normal to movement
      • normal_velocity_in_lab_frame
      • velocity_in_proper_frame
      • proper_frame_velocity
      • law
    • Relativistic velocity tangential to movement
      • tangential_velocity_in_lab_frame
      • velocity_in_proper_frame
      • proper_frame_velocity
      • law
• Rocket Mechanics (Special Relativity)
  • Relative rocket speed from mass change and effective exhaust speed
    • speed
    • effective_exhaust_speed
    • initial_mass
    • final_mass
    • law
  • Rocket thrust is rocket mass times acceleration
    • fuel_consumption_rate
    • relative_speed
    • acceleration
    • mass
    • law
  • Rocket speed from mass and impulse
    • speed_change
    • effective_exhaust_speed
    • initial_mass
    • final_mass
    • law