{"id":"vidhyamitra:city-day:perth:2172-10-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/perth/2172-10-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2172-10-31","date_display":"October 31, 2172 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":2172,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514670.770833,"kali_year":5274,"ahargana":1926205.2708,"sun":{"sidereal_longitude":190.8608,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":4.4465,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":173.5857,"elapsed_within_tithi_degrees":5.5857},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":4.4465,"elapsed_within_degrees":4.4465},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.3073},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2172,"month":10,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2514670.770833,"ahargana":1926205.2708,"kali_year":5274,"ayanamsa_lahiri":26.2673,"grahas":{"sun":{"sidereal_longitude":191.97414200000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":4.099541999999985,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false,"latitude":0.3192},"mars":{"sidereal_longitude":247.486942,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":171.14304200000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":206.588442,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":165.61214199999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":326.9392419999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":0.3752,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":180.3752,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"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":2172,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514670.770833,"kali_year":5274,"ahargana":1926205.2708,"sun":{"sidereal_longitude":190.8608,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":4.4465,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":173.5857,"elapsed_within_tithi_degrees":5.5857},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":4.4465,"elapsed_within_degrees":4.4465},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.3073},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.319,"elongation":173.586},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.319,"opposition_distance":6.414}},"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":"05:20","sunsetLocal":"18:41","solarNoonLocal":"12:00","dayLengthHours":13.352300122406884,"dayLengthDisplay":"13 Hours 21 Mins 08 Secs","nightLengthDisplay":"10 Hours 38 Mins 52 Secs","moonriseLocal":"17:55","moonsetLocal":"05:02","rahuKala":{"name":"Rāhu Kāla","start":"08:40","end":"10:20","startHours":8.66367864355614,"endHours":10.332716158857,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:40","end":"15:20","startHours":13.670791189458722,"endHours":15.339828704759583,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:20","end":"07:00","startHours":5.32560361295442,"endHours":6.99464112825528,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:26","end":"08:53","startHours":8.441140308182693,"endHours":8.886216978929589,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:53","end":"06:14","startHours":5.88194945138804,"endHours":6.238010787985557,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:33","end":"12:27","startHours":11.556677003410966,"endHours":12.44683034490476,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:33","end":"04:26","startHours":3.545296929966835,"endHours":4.435450271460628,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:13","end":"05:20","startHours":4.212911936087179,"endHours":5.32560361295442,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"15:07","startHours":14.227137027892343,"endHours":15.117290369386136,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:29","end":"18:53","startHours":18.477903735361306,"endHours":18.877903735361304,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:41","end":"19:14","startHours":18.677903735361305,"endHours":19.234249573794926,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:26","end":"20:11","startHours":18.427903735361305,"endHours":20.177903735361305,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:33","end":"00:27","startHours":23.556677003410964,"endHours":24.446830344904757,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:20","end":"07:00","startHours":5.32560361295442,"endHours":6.99464112825528,"quality":"inauspicious"},{"name":"Śubha","start":"07:00","end":"08:40","startHours":6.99464112825528,"endHours":8.66367864355614,"quality":"auspicious"},{"name":"Roga","start":"08:40","end":"10:20","startHours":8.66367864355614,"endHours":10.332716158857,"quality":"inauspicious"},{"name":"Udveg","start":"10:20","end":"12:00","startHours":10.332716158857,"endHours":12.001753674157861,"quality":"inauspicious"},{"name":"Chala","start":"12:00","end":"13:40","startHours":12.001753674157861,"endHours":13.670791189458722,"quality":"neutral"},{"name":"Labha","start":"13:40","end":"15:20","startHours":13.670791189458722,"endHours":15.339828704759583,"quality":"auspicious"},{"name":"Amṛta","start":"15:20","end":"17:01","startHours":15.339828704759583,"endHours":17.008866220060444,"quality":"auspicious"},{"name":"Kāla","start":"17:01","end":"18:41","startHours":17.008866220060444,"endHours":18.677903735361305,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:41","end":"20:01","startHours":18.677903735361305,"endHours":20.008866220060444,"quality":"auspicious"},{"name":"Amṛta","start":"20:01","end":"21:20","startHours":20.008866220060444,"endHours":21.339828704759583,"quality":"auspicious"},{"name":"Kāla","start":"21:20","end":"22:40","startHours":21.339828704759583,"endHours":22.670791189458722,"quality":"inauspicious"},{"name":"Śubha","start":"22:40","end":"00:00","startHours":22.670791189458722,"endHours":24.00175367415786,"quality":"auspicious"},{"name":"Roga","start":"00:00","end":"01:20","startHours":24.00175367415786,"endHours":25.332716158857004,"quality":"inauspicious"},{"name":"Udveg","start":"01:20","end":"02:40","startHours":25.332716158857004,"endHours":26.663678643556143,"quality":"inauspicious"},{"name":"Chala","start":"02:40","end":"04:00","startHours":26.663678643556143,"endHours":27.99464112825528,"quality":"neutral"},{"name":"Labha","start":"04:00","end":"05:20","startHours":27.99464112825528,"endHours":29.32560361295442,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:20","end":"06:20","startHours":5.32560361295442,"endHours":6.32560361295442,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:20","end":"07:20","startHours":6.32560361295442,"endHours":7.32560361295442,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:20","end":"08:20","startHours":7.32560361295442,"endHours":8.32560361295442,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:20","end":"09:20","startHours":8.32560361295442,"endHours":9.32560361295442,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:20","end":"10:20","startHours":9.32560361295442,"endHours":10.32560361295442,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:20","end":"11:20","startHours":10.32560361295442,"endHours":11.32560361295442,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:20","end":"12:20","startHours":11.32560361295442,"endHours":12.32560361295442,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:20","end":"13:20","startHours":12.32560361295442,"endHours":13.32560361295442,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:20","end":"14:20","startHours":13.32560361295442,"endHours":14.32560361295442,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:20","end":"15:20","startHours":14.32560361295442,"endHours":15.32560361295442,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:20","end":"16:20","startHours":15.32560361295442,"endHours":16.32560361295442,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:20","end":"17:20","startHours":16.32560361295442,"endHours":17.32560361295442,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:20","end":"18:20","startHours":17.32560361295442,"endHours":18.32560361295442,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:20","end":"19:20","startHours":18.32560361295442,"endHours":19.32560361295442,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:20","end":"20:20","startHours":19.32560361295442,"endHours":20.32560361295442,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:20","end":"21:20","startHours":20.32560361295442,"endHours":21.32560361295442,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:20","end":"22:20","startHours":21.32560361295442,"endHours":22.32560361295442,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:20","end":"23:20","startHours":22.32560361295442,"endHours":23.32560361295442,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:20","end":"00:20","startHours":23.32560361295442,"endHours":24.32560361295442,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:20","end":"01:20","startHours":24.32560361295442,"endHours":25.32560361295442,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:20","end":"02:20","startHours":25.32560361295442,"endHours":26.32560361295442,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:20","end":"03:20","startHours":26.32560361295442,"endHours":27.32560361295442,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:20","end":"04:20","startHours":27.32560361295442,"endHours":28.32560361295442,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:20","end":"05:20","startHours":28.32560361295442,"endHours":29.32560361295442,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-14.25199871917023,"eotMinutes":16.45277955052819,"ayanamsa":26.2673}},"calendars":{"vikram_samvat":2229,"vikram_samvatsara":"Pārthiva","saka_samvat":2094,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1579,"malayalam_era":1348,"nanakshahi_year":703,"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":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Pūrṇimā · Vikram 2229 Pārthiva · Śaka 2094 Aṅgirasa"},"festivals":[{"id":"sharad-purnima","name":"Śarad Pūrṇimā / Kojāgarī Pūrṇimā","name_sanskrit":"शरद पूर्णिमा","tradition":"Vaishnava","associated_deity":"Krishna + Lakṣmī","significance":"Krishna's Mahā-rāsa with the gopīs at Vṛndāvana. Lakṣmī wakes (\"ko jāgartti?\")","vrata":true,"primary_observance":"Night-long jāgaraṇa; offering of pāyasa under moonlight","detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":2,"sources":["Bhāgavata 10.29-33"]},{"id":"rasa-purnima","name":"Rāsa Pūrṇimā (Vraja Mahā-Rāsa)","name_sanskrit":"रास पूर्णिमा","tradition":"Vaishnava","associated_deity":"Krishna + Gopīs","significance":"Krishna's Mahā-rāsa with the gopīs at Vraja (Bhāgavata 10.29-33). Same as Śarad Pūrṇimā but emphasized in Vraja tradition.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":2},{"id":"valmiki-jayanti","name":"Mahārṣi Vālmīki Jayantī","name_sanskrit":"महर्षि वाल्मीकि जयन्ती","tradition":"Pan-Hindu","associated_deity":"Maharṣi Vālmīki (ādi-kavi)","significance":"Composer of Vālmīki Rāmāyaṇa. Āśvina Pūrṇimā tradition.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":3}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","relevance":0.5}]},"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 31, 2172 CE · Perth, Australia · Vidhyamitra","description":"October 31, 2172 CE for Perth, Australia: Śukla Pūrṇimā, sūryodaya 05:20, sūryāsta 18:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/perth/2172-10-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/perth/2172-10-31","sa":"https://sa.vidhyamitra.com/city/perth/2172-10-31","hi":"https://hi.vidhyamitra.com/city/perth/2172-10-31","x-default":"https://vidhyamitra.com/city/perth/2172-10-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T15:20:05.814Z","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":"2026-05-31T15:20:05.814Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T15:20:05.814Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}