a curve of which the radius vector represents the velocity of a moving particle
Derived forms
hodographic (ˌhodoˈgraphic)
adjective
Word origin
C19: from Greek hodos way + -graph
hodograph in American English
(ˈhɑdəˌɡræf, -ˌɡrɑːf)
noun
Math & Mechanics
the figure described by the extremity of a vector that has a fixed origin and a position vector equal to the velocity of a moving particle
Word origin
[1840–50; ‹ Gk hod(ós) way + -o- + -graph]This word is first recorded in the period 1840–50. Other words that entered Englishat around the same time include: colloid, organizer, pylon, sensationalism, striation-o- is the typical ending of the first element of compounds of Greek origin (as -i- is, in compounds of Latin origin), used regularly in forming new compounds with elementsof Greek origin and often used in English as a connective irrespective of etymology(Franco-Italian; geography; seriocomic; speedometer); -graph is a combining form meaning “drawn,” “written” (lithograph; monograph). It is specialized in meaning to indicate the instrument rather than the writtenproduct of the instrument (telegraph; phonograph)
Examples of 'hodograph' in a sentence
hodograph
The equations of motion have been transformed to the hodograph plane.
P. V. Nguyen, O. P. Chandna 1990, 'Hodographic study of non-Newtonian MHD aligned steady plane fluid flows', International Journal of Mathematics and Mathematical Scienceshttp://dx.doi.org/10.1155/S0161171290000138. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
These equations are used to formulate hodograph solutions of the reduced hierarchy.
Kanehisa Takasaki 2012, 'Old and New Reductions of Dispersionless Toda Hierarchy', Symmetry, Integrability and Geometry: Methods and Applicationshttp://dx.doi.org/10.3842/SIGMA.2012.102. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The degree of stability / instability can be determined by using vertical wind profile (hodograph) and stability indices.
TUDOSE T., MOLDOVAN F. 2015, 'THE ROLE OF AIR ADVECTION AND ATMOSPHERIC STABILITY INDICES FOR IDENTIFING HEAVY RAINSTORMS IN NORTH-WESTERN ROMANIA', Aerul şi Apa: Componente ale Mediuluihttp://aerapa.conference.ubbcluj.ro/2015/PDF/18_TUDOSE_MOLDOVAN_133_140.pdf. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)