{"id":2975,"date":"2025-11-01T05:43:33","date_gmt":"2025-11-01T05:43:33","guid":{"rendered":"https:\/\/cvsc.upcebu.edu.ph\/?post_type=project&#038;p=2975"},"modified":"2026-01-27T06:36:38","modified_gmt":"2026-01-27T06:36:38","slug":"mobile-phone-integrated-demonstration-of-keplers-second-law-of-planetary-motion-and-the-conservation-law-of-angular-momentum","status":"publish","type":"project","link":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/project\/mobile-phone-integrated-demonstration-of-keplers-second-law-of-planetary-motion-and-the-conservation-law-of-angular-momentum\/","title":{"rendered":"Mobile phone-integrated demonstration of Kepler\u2019s second law of planetary motion and the conservation law of angular momentum"},"content":{"rendered":"<p>[et_pb_section fb_built=&#8221;1&#8243; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_row column_structure=&#8221;1_3,2_3&#8243; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; custom_padding=&#8221;40px|||||&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;1_3&#8243; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_heading title=&#8221;Mobile phone-integrated demonstration of Kepler\u2019s second law of planetary motion and the conservation law of angular momentum&#8221; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; title_font=&#8221;|700|on||||||&#8221; title_text_color=&#8221;gcid-body-color&#8221; title_font_size=&#8221;41px&#8221; custom_margin=&#8221;|-828px|25px|||&#8221; global_colors_info=&#8221;{%22gcid-body-color%22:%91%22title_text_color%22%93}&#8221;][\/et_pb_heading][et_pb_image src=&#8221;http:\/\/cvsc.upcebu.edu.ph\/wp-content\/uploads\/2025\/12\/Ruiz-Physivs-Education.gif&#8221; title_text=&#8221;Ruiz-Physivs Education&#8221; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; box_shadow_style=&#8221;preset2&#8243; global_colors_info=&#8221;{}&#8221;][\/et_pb_image][\/et_pb_column][et_pb_column type=&#8221;2_3&#8243; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_text _builder_version=&#8221;4.27.5&#8243; _module_preset=&#8221;default&#8221; text_font_size=&#8221;15px&#8221; text_line_height=&#8221;1.2em&#8221; custom_padding=&#8221;118px|||||&#8221; hover_enabled=&#8221;0&#8243; global_colors_info=&#8221;{}&#8221; sticky_enabled=&#8221;0&#8243;]<\/p>\n<p><strong>Lead Researcher(s): <\/strong><span itemtype=\"http:\/\/schema.org\/Person\" itemprop=\"author\" class=\"nowrap\"><span itemprop=\"name\">Flora Mae Ruiz<\/span><sup>*<\/sup><\/span>, <span itemtype=\"http:\/\/schema.org\/Person\" itemprop=\"author\" class=\"nowrap\"><span itemprop=\"name\">Michael Gavriel Reyes<\/span><\/span>, <span itemtype=\"http:\/\/schema.org\/Person\" itemprop=\"author\" class=\"nowrap\"><span itemprop=\"name\">Hannah Yuson<\/span><\/span>, <span itemtype=\"http:\/\/schema.org\/Person\" itemprop=\"author\" class=\"nowrap\"><span itemprop=\"name\">Belfry Ruiz, <\/span><\/span><span itemtype=\"http:\/\/schema.org\/Person\" itemprop=\"author\" class=\"nowrap\"><span itemprop=\"name\">Unofre Pili<\/span><\/span><br \/><strong>Status:<\/strong> Published<\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\"><strong>Abstract\/summary:<\/strong> <span>Kepler\u2019s second law states that a planet sweeps out equal areas in equal time intervals as it orbits the Sun. The principle is intrinsically linked to the conservation of angular momentum. However, its exploration may be challenging for students mainly due to the complex nature of determining the area of a sector of the chosen planet\u2019s elliptical orbit. This article introduces a simpler and faster way of demonstrating the mentioned fundamental laws by integrating smartphone-based measurements through the mobile application Petiole Pro (or alternatively LeafByte for iOS). With readily available orbital data of planets and comets that can be extracted online, this study provides an accessible and easier method for students and educators to visualize and understand celestial mechanics using a smartphone application.<\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n<p>[\/et_pb_text][et_pb_button button_url=&#8221;https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6552\/adf36d&#8221; url_new_window=&#8221;on&#8221; button_text=&#8221;Downloadable PDF&#8221; _builder_version=&#8221;4.27.4&#8243; _module_preset=&#8221;default&#8221; custom_button=&#8221;on&#8221; button_text_color=&#8221;#8A1538&#8243; global_colors_info=&#8221;{}&#8221;][\/et_pb_button][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Lead Researcher(s): Flora Mae Ruiz*, Michael Gavriel Reyes, Hannah Yuson, Belfry Ruiz, Unofre PiliStatus: Published Abstract\/summary: Kepler\u2019s second law states that a planet sweeps out equal areas in equal time intervals as it orbits the Sun. The principle is intrinsically linked to the conservation of angular momentum. However, its exploration may be challenging for students [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"template":"","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"project_category":[37,34],"project_tag":[],"class_list":["post-2975","project","type-project","status-publish","hentry","project_category-journals-books-and-reports","project_category-recent-publications"],"_links":{"self":[{"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/project\/2975","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/project"}],"about":[{"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/types\/project"}],"author":[{"embeddable":true,"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/users\/7"}],"version-history":[{"count":3,"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/project\/2975\/revisions"}],"predecessor-version":[{"id":2992,"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/project\/2975\/revisions\/2992"}],"wp:attachment":[{"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/media?parent=2975"}],"wp:term":[{"taxonomy":"project_category","embeddable":true,"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/project_category?post=2975"},{"taxonomy":"project_tag","embeddable":true,"href":"https:\/\/cvsc.upcebu.edu.ph\/index.php\/wp-json\/wp\/v2\/project_tag?post=2975"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}