The status of cometary astronomy and astrophysics as of mid-1992 is re
viewed, i.e. at a time when the first in situ observations of comets i
n 1985-86 have been thoroughly discussed, interpreted and compared wit
h ground-based investigations. Many earlier ideas about comets were vi
ndicated and a plethora of new discoveries resulted which have now led
to reformulation of certain observational strategies and, in particul
ar, to greatly improved possibilities for the detailed physical/chemic
al modelling of many cometary phenomena. A main purpose of this paper
is to assess the current situation and to provide a reasonably complet
e, yet concise and critical evaluation of the most important questions
and promising lines of research in this field. After a short introduc
tion which defines the overall subject and the framework of the presen
t review (Sect. 1), we take a look at some of the major past developme
nts of our concepts about comets, in particular the crucial new insigh
ts which were gained during the past four decades (Sect. 2). The rapid
advances in observational technology have greatly extended the realm
of accessible problems and we next discuss the present possibilities a
nd restrictions of the various techniques employed (Sect. 3). Part II
of this paper discusses the modelling of cometary comae and tails (Sec
t. 4), the cometary nucleus (Sect. 5), the evolution (Sect. 6) and ori
gin (Sect. 7) of comets and ends with an overview of the main question
s now being asked by cometary studies (Sect. 8).