Elon Musk indicates that SpaceX will for orbit with Starship as soon as possible after the 20-kilometer test. The timing is based upon building the increased number of Raptor engines.
Three Raptor engines for the 20-kilometer flight
Six Raptor engines for an orbital flight with an expendable Starship without cargo
30 Raptor engines for an orbital flight with a minimal Super-heavy booster and Starship
Elon also tweeted that SpaceX was selected by NASA to launch the DART mission. This will be precursor mission to develop the capabilites to deflect asteroids.
SpaceX has a section on Starship and Super Heavy at their website.
If 20km works, then orbit
— Elon Musk (@elonmusk) October 1, 2019
Excited about launching @NASA asteroid defense mission! #Armageddon69 https://t.co/6Hz4CKOLwU
— Elon Musk (@elonmusk) October 4, 2019
Satellites Deliveries With Starship
SpaceX’s Starship and Super Heavy rocket are designed to deliver satellites to Earth orbit and beyond, at a lower marginal cost per launch than our current Falcon vehicles. With a 9m diameter forward payload compartment, larger than any other current or planned fairing, Starship creates possibilities for new missions, including space telescopes even larger than the James Webb.
Starship can deliver both cargo and people to and from the International Space Station. Starship’s forward payload volume is about 1,100 m3, providing significant capacity for in-space activities. The aft cargo containers can also host a variety of payloads.
Starship Moon Missions
Returning to the Moon and developing bases to support future space exploration requires the transport of large amounts of cargo to the Moon for research and human spaceflight development. The fully reusable Starship system is capable of supporting this effort by carrying the building blocks needed to enable a Moon base and by informing the development of propulsive landing systems to help realize this future.
SpaceX Starship Missions to Mars and Beyond
Building Moon bases and Mars cities will require affordable delivery of significant quantities of cargo and people. The fully reusable Starship system uses in-space propellant transfer to enable the delivery of over 100t of useful mass to the surface of the Moon or Mars. This system is designed to ultimately carry as many as 100 people on long-duration, interplanetary flights.
SOURCES- Elon Musk Twitter, SpaceX

nextbigfuture.com, the top online science blog. He is also involved in angel investing and raising funds for breakthrough technology startup companies.
He gave the recent keynote presentation at Monte Jade event with a talk entitled the Future for You. He gave an annual update on molecular nanotechnology at Singularity University on nanotechnology, gave a TEDX talk on energy, and advises USC ASTE 527 (advanced space projects program). He has been interviewed for radio, professional organizations. podcasts and corporate events. He was recently interviewed by the radio program Steel on Steel on satellites and high altitude balloons that will track all movement in many parts of the USA.
He fundraises for various high impact technology companies and has worked in computer technology, insurance, healthcare and with corporate finance.
He has substantial familiarity with a broad range of breakthrough technologies like age reversal and antiaging, quantum computers, artificial intelligence, ocean tech, agtech, nuclear fission, advanced nuclear fission, space propulsion, satellites, imaging, molecular nanotechnology, biotechnology, medicine, blockchain, crypto and many other areas.