Orbital mechanics or astrodynamics is the application of celestial mechanics to the practical problems concerning the motion of rockets and other spacecraft.... a characteristic energy is a measure of the energy required for an interplanetary mission that requires attaining an excess orbital velocity over an escape velocity
Escape velocity
In physics, escape velocity is the speed where the kinetic energy of an object is equal to the magnitude of its gravitational potential energy, as calculated by the equation,... required for additional orbital maneuver
Orbital maneuver
In spaceflight, an orbital maneuver is the use of spacecraft propulsion systems to change the orbit of a spacecraft. For spacecraft far from Earth -- for example those in orbits around the Sun -- an orbital maneuver is called a deep-space maneuver .... s. The unit of the characteristic energy is km
Kilometre
The kilometre , symbol km is a Units of measurement of length in the metric system, equal to one thousand metres.Slang terms for kilometre include click and kay .... 2s
Second
The second , sometimes abbreviated sec., is the name of a units of measurement of time, and is the International System of Units SI base unit of time.... -2.
Characteristic energy can be computed as:
where
is the orbital velocity when the orbital distance tends to infinity.
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Orbital mechanics or astrodynamics is the application of celestial mechanics to the practical problems concerning the motion of rockets and other spacecraft.... a characteristic energy is a measure of the energy required for an interplanetary mission that requires attaining an excess orbital velocity over an escape velocity
Escape velocity
In physics, escape velocity is the speed where the kinetic energy of an object is equal to the magnitude of its gravitational potential energy, as calculated by the equation,... required for additional orbital maneuver
Orbital maneuver
In spaceflight, an orbital maneuver is the use of spacecraft propulsion systems to change the orbit of a spacecraft. For spacecraft far from Earth -- for example those in orbits around the Sun -- an orbital maneuver is called a deep-space maneuver .... s. The unit of the characteristic energy is km
Kilometre
The kilometre , symbol km is a Units of measurement of length in the metric system, equal to one thousand metres.Slang terms for kilometre include click and kay .... 2s
Second
The second , sometimes abbreviated sec., is the name of a units of measurement of time, and is the International System of Units SI base unit of time.... -2.
Characteristic energy can be computed as:
where
is the orbital velocity when the orbital distance tends to infinity. Note that, since the kinetic energy is one half m C3 is in fact equal to twice the magnitude of the specific energy
Specific orbital energy
In astrodynamics the specific orbital energy of an orbiting body traveling through space under standard assumptions in astrodynamics is the sum of its potential energy and kinetic energy per unit mass.... of the escaping object.
In astrodynamics a central body is a body that is being orbited by an orbiting body . Under standard assumptions in astrodynamics:* it is more massive than the orbiting body by several orders of magnitude ,... (e.g. earth) on a parabolic trajectory
Parabolic trajectory
In astrodynamics or celestial mechanics a parabolic trajectory is a Kepler orbit with the eccentricity equal to 1. When moving away from the source it is called an escape orbit, otherwise a capture orbit.... :
In astrodynamics a central body is a body that is being orbited by an orbiting body . Under standard assumptions in astrodynamics:* it is more massive than the orbiting body by several orders of magnitude ,... on a hyperbolic trajectory
Hyperbolic trajectory
In astrodynamics or celestial mechanics a hyperbolic trajectory is a Kepler orbit with the eccentricity greater than 1. Under standard assumptions in astrodynamics a body traveling along this trajectory will orbital coast to infinity, arriving there with hyperbolic excess velocity relative to the central body.... :
In astrodynamics, the standard gravitational parameter of a celestial body is the product of the gravitational constant and the mass :The units of the standard gravitational parameter are km3s-2... ,
In geometry, the semi-major axis is used to describe the dimensions of ellipses and hyperbolae.... of orbit
ORBit
ORBit is a Common Object Request Broker Architecture 2.4 compliant Object Request Broker . It features mature C , C++ and Python bindings, and less developed bindings for Perl, Lisp , Pascal , Ruby , and Tcl.... 's hyperbola
Hyperbola
In mathematics a hyperbola is a smooth function planar curve having two connected components or branches, each a mirror image of the other and resembling two infinite bow aimed at each other.... .
In astrodynamics the specific orbital energy of an orbiting body traveling through space under standard assumptions in astrodynamics is the sum of its potential energy and kinetic energy per unit mass....
ORBit is a Common Object Request Broker Architecture 2.4 compliant Object Request Broker . It features mature C , C++ and Python bindings, and less developed bindings for Perl, Lisp , Pascal , Ruby , and Tcl....
In astrodynamics or celestial mechanics a parabolic trajectory is a Kepler orbit with the eccentricity equal to 1. When moving away from the source it is called an escape orbit, otherwise a capture orbit....
In astrodynamics or celestial mechanics a hyperbolic trajectory is a Kepler orbit with the eccentricity greater than 1. Under standard assumptions in astrodynamics a body traveling along this trajectory will orbital coast to infinity, arriving there with hyperbolic excess velocity relative to the central body....
