{"id":"vidhyamitra:city-day:perth:2160-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/perth/2160-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2160-10-13","date_display":"October 13, 2160 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2160,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510269.770833,"kali_year":5262,"ahargana":1921804.2708,"sun":{"sidereal_longitude":173.0341,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":325.9596,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":152.9255,"elapsed_within_tithi_degrees":8.9255},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":325.9596,"elapsed_within_degrees":5.9596},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":138.9936},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2160,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2510269.770833,"ahargana":1921804.2708,"kali_year":5262,"ayanamsa_lahiri":26.099,"grahas":{"sun":{"sidereal_longitude":174.16439200000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":327.92189200000007,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false,"latitude":4.4961},"mars":{"sidereal_longitude":152.42609200000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":154.15849200000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":199.90399200000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":213.83669199999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":192.912192,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":233.5614,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":53.5614,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2160,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510269.770833,"kali_year":5262,"ahargana":1921804.2708,"sun":{"sidereal_longitude":173.0341,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":325.9596,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":152.9255,"elapsed_within_tithi_degrees":8.9255},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":325.9596,"elapsed_within_degrees":5.9596},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":138.9936},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.496,"elongation":152.925},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.496,"opposition_distance":27.075}},"eclipse_window_40days":[]},"city":{"slug":"perth","name":"Perth, Australia","lat":-31.9505,"lon":115.8605,"tz_offset_hours":8,"country":"AU","tier":"diaspora"},"tier2":{"city":{"slug":"perth","name":"Perth, Australia","lat":-31.9505,"lon":115.8605,"tz_offset_hours":8,"country":"AU","tier":"diaspora"},"sunriseLocal":"05:38","sunsetLocal":"18:26","solarNoonLocal":"12:02","dayLengthHours":12.796212409252995,"dayLengthDisplay":"12 Hours 47 Mins 46 Secs","nightLengthDisplay":"11 Hours 12 Mins 14 Secs","moonriseLocal":"16:08","moonsetLocal":"04:26","rahuKala":{"name":"Rāhu Kāla","start":"07:14","end":"08:50","startHours":7.23667985972887,"endHours":8.836206410885495,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:26","end":"12:02","startHours":10.435732962042119,"endHours":12.035259513198742,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:38","end":"15:14","startHours":13.634786064355367,"endHours":15.234312615511993,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:37","end":"09:03","startHours":8.622936204064612,"endHours":9.049476617706377,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:10","end":"06:31","startHours":6.170328825624454,"endHours":6.511561156537867,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:37","end":"12:28","startHours":11.608719099556975,"endHours":12.46179992684051,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:56","end":"04:47","startHours":3.9309916540051795,"endHours":4.784072481288713,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:34","end":"05:38","startHours":4.570802274467829,"endHours":5.637153308572246,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:10","end":"15:01","startHours":14.167961581407575,"endHours":15.021042408691107,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:14","end":"18:38","startHours":18.23336571782524,"endHours":18.63336571782524,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:26","end":"18:58","startHours":18.43336571782524,"endHours":18.966541234877447,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:11","end":"19:56","startHours":18.18336571782524,"endHours":19.93336571782524,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:37","end":"00:28","startHours":23.608719099556975,"endHours":24.46179992684051,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:38","end":"07:14","startHours":5.637153308572246,"endHours":7.23667985972887,"quality":"auspicious"},{"name":"Kāla","start":"07:14","end":"08:50","startHours":7.23667985972887,"endHours":8.836206410885495,"quality":"inauspicious"},{"name":"Śubha","start":"08:50","end":"10:26","startHours":8.836206410885495,"endHours":10.435732962042119,"quality":"auspicious"},{"name":"Roga","start":"10:26","end":"12:02","startHours":10.435732962042119,"endHours":12.035259513198742,"quality":"inauspicious"},{"name":"Udveg","start":"12:02","end":"13:38","startHours":12.035259513198742,"endHours":13.634786064355367,"quality":"inauspicious"},{"name":"Chala","start":"13:38","end":"15:14","startHours":13.634786064355367,"endHours":15.234312615511993,"quality":"neutral"},{"name":"Labha","start":"15:14","end":"16:50","startHours":15.234312615511993,"endHours":16.833839166668614,"quality":"auspicious"},{"name":"Amṛta","start":"16:50","end":"18:26","startHours":16.833839166668614,"endHours":18.43336571782524,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:26","end":"19:50","startHours":18.43336571782524,"endHours":19.833839166668614,"quality":"neutral"},{"name":"Labha","start":"19:50","end":"21:14","startHours":19.833839166668614,"endHours":21.23431261551199,"quality":"auspicious"},{"name":"Amṛta","start":"21:14","end":"22:38","startHours":21.23431261551199,"endHours":22.634786064355367,"quality":"auspicious"},{"name":"Kāla","start":"22:38","end":"00:02","startHours":22.634786064355367,"endHours":24.035259513198742,"quality":"inauspicious"},{"name":"Śubha","start":"00:02","end":"01:26","startHours":24.035259513198742,"endHours":25.435732962042117,"quality":"auspicious"},{"name":"Roga","start":"01:26","end":"02:50","startHours":25.435732962042117,"endHours":26.836206410885495,"quality":"inauspicious"},{"name":"Udveg","start":"02:50","end":"04:14","startHours":26.836206410885495,"endHours":28.23667985972887,"quality":"inauspicious"},{"name":"Chala","start":"04:14","end":"05:38","startHours":28.23667985972887,"endHours":29.637153308572245,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:38","end":"06:38","startHours":5.637153308572246,"endHours":6.637153308572246,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:38","end":"07:38","startHours":6.637153308572246,"endHours":7.637153308572246,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:38","end":"08:38","startHours":7.637153308572246,"endHours":8.637153308572245,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:38","end":"09:38","startHours":8.637153308572245,"endHours":9.637153308572245,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:38","end":"10:38","startHours":9.637153308572245,"endHours":10.637153308572245,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:38","end":"11:38","startHours":10.637153308572245,"endHours":11.637153308572245,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:38","end":"12:38","startHours":11.637153308572245,"endHours":12.637153308572245,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:38","end":"13:38","startHours":12.637153308572245,"endHours":13.637153308572245,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:38","end":"14:38","startHours":13.637153308572245,"endHours":14.637153308572245,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:38","end":"15:38","startHours":14.637153308572245,"endHours":15.637153308572245,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:38","end":"16:38","startHours":15.637153308572245,"endHours":16.637153308572245,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:38","end":"17:38","startHours":16.637153308572245,"endHours":17.637153308572245,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:38","end":"18:38","startHours":17.637153308572245,"endHours":18.637153308572245,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:38","end":"19:38","startHours":18.637153308572245,"endHours":19.637153308572245,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:38","end":"20:38","startHours":19.637153308572245,"endHours":20.637153308572245,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:38","end":"21:38","startHours":20.637153308572245,"endHours":21.637153308572245,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:38","end":"22:38","startHours":21.637153308572245,"endHours":22.637153308572245,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:38","end":"23:38","startHours":22.637153308572245,"endHours":23.637153308572245,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:38","end":"00:38","startHours":23.637153308572245,"endHours":24.637153308572245,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:38","end":"01:38","startHours":24.637153308572245,"endHours":25.637153308572245,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:38","end":"02:38","startHours":25.637153308572245,"endHours":26.637153308572245,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:38","end":"03:38","startHours":26.637153308572245,"endHours":27.637153308572245,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:38","end":"04:38","startHours":27.637153308572245,"endHours":28.637153308572245,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:38","end":"05:38","startHours":28.637153308572245,"endHours":29.637153308572245,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-7.917623186138458,"eotMinutes":14.442429208075392,"ayanamsa":26.099}},"calendars":{"vikram_samvat":2217,"vikram_samvatsara":"Śrīmukha","saka_samvat":2082,"saka_samvatsara":"Raudra","bengali_samvat":1567,"malayalam_era":1336,"nanakshahi_year":691,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Trayodaśī · Vikram 2217 Śrīmukha · Śaka 2082 Raudra"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"perth"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 13, 2160 CE · Perth, Australia · Vidhyamitra","description":"October 13, 2160 CE for Perth, Australia: Śukla Trayodaśī, sūryodaya 05:38, sūryāsta 18:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/perth/2160-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/perth/2160-10-13","sa":"https://sa.vidhyamitra.com/city/perth/2160-10-13","hi":"https://hi.vidhyamitra.com/city/perth/2160-10-13","x-default":"https://vidhyamitra.com/city/perth/2160-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T22:01:00.167Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-31T22:01:00.167Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T22:01:00.167Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}