According to Carsten Petersen’s biography:

Carsten Petersen was born in Schleswig-Holstein, Germany near Brestedt, September 19, 1849, a son of Carsten and Anna K.(Jacobson) Petersen, in whose family were five children, of whom subject of this review is the third in order of birth. The father followed farming and thus provided a comfortable living for his family.
Carsten Petersen left Germany to avoid military duty, coming to America in the fall of 1869, when about twenty years of age. He made his way to Racine County, Wisconsin, there spending the winter, and in the spring of 1870 arrived in Platte County, after which he began work as a farm hand near Columbus, spending four years in that way. In the fall of 1870, however he took up a homestead on section 8, Lost Creek township, securing eighty acres of land. He continued to work at farm labor, however, in order to acquire some ready capital, and at the end of four years became the occupant of his farm.

 SS Fulton – New York Passenger Manifest – 1869

The SS Fulton was the steamship on which Carsten Petersen made the crossing of the Atlantic from Copenhagen, Denmark to Swinemunde, Germany to the Port of New York on his way to Nebraska.

Ancestry.com database transcription

 Source Citation
Year: 1869; Arrival: New York, New York; Microfilm Serial: M237, 1820-1897; Microfilm Roll: Roll 320; Line: 52; List Number: 1225

SS Fulton

No description or image of the SS Fulton has been found.

Additional Info

As noted above in the Carsten Petersen’s biography, he immigrated  to “America in the fall of 1869, when about twenty years of age. He made his way to Racine County, Wisconsin, there spending the winter, and in the spring of 1870 arrived in Platte County. I have always wondered why Carsten first went to Racine County, Wisconsin.
Apparently, Carsten went to Wisconsin to be with relatives of his mother’s Jacobson family. Debby Jacobson Freeman recently provided the following family information:

“our Jacobsons lived at Boehner’s Lake, Racine County, WI.
Andreas Christian Jacobsen left Germany for America with his new wife in 1849.
He had studied theology at Kiel University and tutored in St Petersburg, Russia.
He married Maria Elizabeth August Horn on July 27, 1849 in Dorpot and boarded
ship on 14 Sept., 1849. He left a journal of his trip.
In Milwaukee he taught for a year and then bought land in Racine County.
Relatives say it was a poor choice of land, but he build cottages and grew fruit
trees for Chicago tourists. Also he preached in nearby churches.

My great grand father, Theodore Jacobson was born in 1854 so he must have
known Carsten [Petersen]., who arrived in 1870. They might have worked together on building
cottages on the lake. Theodore died in 1920 before his son Harry went to
Nebraska to redeem tax certificate land for his father in law, S.Y. Gillan.

Debby Jacobson Freeman also stated:

Our Jacobson family of Wisconsin noted that my great uncle Harry Jacobson lived in Nebraska in the 1930’s and connected with children of Carsten and Anna Jacobson Peterson. Anna Catharine was sister to his grandfather Andreas Christian Jacobson of Braderup , Schleswig, Denmark.

My gg grandfather [Andreas Christian Jacobsen] was born in 1805. I was told that Andreas Christian Jacobsen took his father’s last name whereas his older brothers took their father’s first name. This practice stopped around 1800. This makes research challenging.
Yesterday i heard from my cousin whose grandfather [Harry Jacobson] lived in Columbus,
Nebraska for three years and connected with Jacobsen/ Petersen
descendants.