Another Starlink launch June 12, just 8 days after the previous. From the same pad, a record turnaround time (planned).
And then another one June 24 (different pad).
Viewing conditions are unclear until we have better launch time estimates.
There might be yet another Falcon 9 launch June 30, a GPS satellite. If they all happen then SpaceX will have launched 4 rockets and over 180 spacecraft in June, and 5 rockets in 5 weeks (with the crewed flight and the previous Starlink launch).
Here is an animation of Starlink satellite orbits. The reference frame has operational satellites stay in place where horizontal lines are satellites following each other in the orbit. Satellites are launched to lower orbits where they orbit faster -> move to the right. They also precess at a different rate, which makes them move up slowly in the diagram. As they raise their orbit they become stationary in both axes, and clever timing of the process makes them arrive at just the right spot. Each launch ends up with three groups of 20 satellites after ~4 months. The goal is a uniform grid for early operation, later launches will then add more and more horizontal lines in between to increase bandwidth. From August on we can expect non-stop service in some latitude ranges, around that time a private beta test should begin.
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After its July 2019 launch failure, Vega will return back to flight June 19, launching 50 smaller spacecraft .
In July we'll see three missions flying to Mars:
The US plans to launch its rover Perseverance with its small helicopter, now called Ingenuity
China plans to launch Tianwen-1, a rover and an orbiter.
The UAE plans to launch Hope, a Mars orbiter.