It appears on the title page of his observations in the Philosophical Transactions for 1829, that the printing was paid for by His Majesty's Colonial Department. This work consists of a vast number of observations to determine the latitude; a few to determine the longitude; a number of comet observations, and others to determine latitude by the sun's solstice; observations of the moon and planets, etc.

Every care has evidently been bestowed upon these observations, and their subsequent reduction, and it was no fault of Mr. Rumker's that the observations are affected by incurable errors depending upon the imperfect instruments with which he was obliged to work. Of these Mr. Rumker was fully conscious, and by every means in his power tried to eliminate them, but they were of such a nature that all his efforts necessarily failed to produce the desired results.

I find by reference to official letters that Mr. Rumker's promise of appointment is dated 21st December, 1827 (see Appendix C); but his observations began in Pararmatta in May 1826, he must, therefore, have been appointed by the Governor, subject to confirmation by the Home Government. (See Appendix D, letter of July 16, 1829, his actual appointments.)

Rumker, (Philosophical Transactions, 1829, part III., pp. 29 and 151), says:—

The longitude of Parramatta as a mean of all is—

Parramatta	10h.	4m.	6.25s.
[9]Port Jackson—by Brisbane observing at Government House, August 16, 1822	10h.	5m.	17.89s.
Difference between Parramatta and Sydney, by chronometers, Capt. P. P. King	0h.	0m.	51.93s.
Mean of several observed differences;			50.88s.
this added to Paramatta longitude makes longitude, Sydney	10h.	4m.	57.13s.
[10]Government House, Sydney, by Admiral Bligh	10h.	5m.	10.5s.
Government House, Sydney, by Capt. King	10h.	5m.	8.2s.

Rumker, (Royal Astronomical Society Proceedings, Vol VI., p. 213), gives a final correction for the longitude of Parramatta as the result of a second calculation from his moon observations there, and makes it 10h. 4m. 7s.217. Date, April, 1845.

Some unimportant letters were sent by him from Parramatta and published in Baron de Zach's Correspondence, and he read one paper before the Philosophical Society of Australia on March 13, 1822, on "The Astronomy of the Southern Hemisphere," which is published in Baron Field's "Geographical Memoirs of New South Wales" but it is of no value to science, as it simply points out the advantage of the geographical position of Parramatta for observations, a fact which did not need a paper before the Society to make it obvious.

Bureau of Meteorology