The Collaborative International Dictionary of English v.0.48:

Jog \Jog\, n.
   1. A slight shake; a shake or push intended to give notice or
      awaken attention; a push; a jolt.
      [1913 Webster]

            To give them by turns an invisible jog. --Swift.
      [1913 Webster]

   2. A rub; a slight stop; an obstruction; hence, an
      irregularity in motion of from; a hitch; a break in the
      direction of a line or the surface of a plane. --Glanvill.
      [1913 Webster]

   3. A liesurely running pace. See jog[2], v. i.
      [PJC]

   Jog trot, a slow, regular, jolting gait; hence, a routine
      habit or method, persistently adhered to. --T. Hook.
      [1913 Webster]

WordNet (r) 3.0 (2006):

jog trot
    n 1: an easy gait of a horse; midway between a walk and a trot

Moby Thesaurus II by Grady Ward, 1.0:

104 Moby Thesaurus words for "jog trot":
   alliterating, alliterative, andante, assonant, beat, beaten path,
   belabored, blah, broken-record, bureaucracy, bureaucratism, burst,
   burst of speed, canter, chanting, chiming, chinoiserie,
   claudication, cliche-ridden, crawl, creep, daily grind, dash,
   dead march, dead run, dingdong, dogtrot, drearisome, dreary, dry,
   dryasdust, dull, dusty, everlasting, flank speed, flat-out speed,
   footpace, forced draft, full gallop, funeral march, gallop, grind,
   groove, hand gallop, harping, headlong rush, heavy right foot,
   high lope, hobble, humdrum, invariable, jingle-jangle, jog,
   labored, leisurely gait, limp, long-winded, lope, lumbering pace,
   maximum speed, mincing steps, monotone, monotonous, open throttle,
   plod, plunge, prolix, race, rack, red tape, red-tapeism, rhymed,
   rhyming, round, routine, run, rush, rut, saunter, scamper, scud,
   scurry, scuttle, shamble, shuffle, singsong, slouch, slow march,
   slow motion, sprint, spurt, squirrel cage, stroll, tedious, track,
   treadmill, trot, trudge, uneventful, unvarying, waddle, walk,
   well-worn groove, wide-open speed