... 000, 1­12 (2009) Printed 11 February 2010 A (MN L TEX style file v2.2) Analytical approximations of K -corrections in optical and near-infrared bands I1gor V. Chilingarian1 2 ,2,3 , Anne-Laure Melchior 1,4 and Ivan Yu. ... Received 2010 February 01; in original form 2009 August 14 ABSTRACT To compare photometric properties of galaxies at different redshifts, the fluxes need to be corrected for the changes of effective rest-frame wavelengths of filter bandpasses, called K -corrections. ... Table 1. ...

... 23 Algorithm fo r evalua tion of two burn maneuv ers using linearity Input information: ( t t E1 , rEI , v t1L , t E2 2L ( ) EI )T )T ­ ­ ­ ­ the time and the state vector of initial orbit for this time ; interval of possible thrusts for transition from initial orbit to the transfer on e; the time and the state vector of the target orbit for this time ; ... We cal culate the state vector for the initial orbit for the time t1a and the target one ­ for the time t2 a . ...