{"id":"vidhyamitra:city-day:perth:2187-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/perth/2187-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2187-12-15","date_display":"December 15, 2187 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":2187,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2520193.770833,"kali_year":5289,"ahargana":1931728.2708,"sun":{"sidereal_longitude":235.6488,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":45.4251,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":169.7763,"elapsed_within_tithi_degrees":1.7763},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":45.4251,"elapsed_within_degrees":5.4251},"yoga":{"number":22,"name":"Sādhya","sum_longitude":281.0739},"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":2187,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2520193.770833,"ahargana":1931728.2708,"kali_year":5289,"ayanamsa_lahiri":26.4786,"grahas":{"sun":{"sidereal_longitude":236.50682299999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":47.284722999999985,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false,"latitude":-1.7071},"mars":{"sidereal_longitude":274.094523,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":254.66542300000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":298.60422300000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":275.1702230000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":173.551923,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":67.7401,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":247.7401,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2187,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2520193.770833,"kali_year":5289,"ahargana":1931728.2708,"sun":{"sidereal_longitude":235.6488,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":45.4251,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":169.7763,"elapsed_within_tithi_degrees":1.7763},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":45.4251,"elapsed_within_degrees":5.4251},"yoga":{"number":22,"name":"Sādhya","sum_longitude":281.0739},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.707,"elongation":169.776},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.707,"opposition_distance":10.224}},"eclipse_window_40days":[{"offset_days":1,"type":"lunar","occurs":true,"moon_latitude":-0.699,"opposition_distance":2.066}]},"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":"05:06","sunsetLocal":"19:19","solarNoonLocal":"12:12","dayLengthHours":14.220655975517104,"dayLengthDisplay":"14 Hours 13 Mins 14 Secs","nightLengthDisplay":"9 Hours 46 Mins 46 Secs","moonriseLocal":"18:32","moonsetLocal":"04:39","rahuKala":{"name":"Rāhu Kāla","start":"08:39","end":"10:26","startHours":8.651170422227853,"endHours":10.428752419167491,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:59","end":"15:46","startHours":13.983916413046767,"endHours":15.761498409986405,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:06","end":"06:52","startHours":5.096006428348578,"endHours":6.873588425288216,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:25","end":"08:53","startHours":8.41415948930257,"endHours":8.88818135515314,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:41","end":"06:04","startHours":5.688533760661791,"endHours":6.067751253342247,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:44","end":"12:41","startHours":11.732312550256559,"endHours":12.6803562819577,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:12","end":"04:09","startHours":3.1999189649462974,"endHours":4.147962696647438,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:55","end":"05:06","startHours":3.9109517637221525,"endHours":5.096006428348578,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:35","end":"15:31","startHours":14.576443745359981,"endHours":15.524487477061122,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:07","end":"19:31","startHours":19.116662403865682,"endHours":19.51666240386568,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:19","end":"19:55","startHours":19.31666240386568,"endHours":19.909189736178895,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:04","end":"20:49","startHours":19.06666240386568,"endHours":20.81666240386568,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:44","end":"00:41","startHours":23.73231255025656,"endHours":24.6803562819577,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:06","end":"06:52","startHours":5.096006428348578,"endHours":6.873588425288216,"quality":"inauspicious"},{"name":"Śubha","start":"06:52","end":"08:39","startHours":6.873588425288216,"endHours":8.651170422227853,"quality":"auspicious"},{"name":"Roga","start":"08:39","end":"10:26","startHours":8.651170422227853,"endHours":10.428752419167491,"quality":"inauspicious"},{"name":"Udveg","start":"10:26","end":"12:12","startHours":10.428752419167491,"endHours":12.20633441610713,"quality":"inauspicious"},{"name":"Chala","start":"12:12","end":"13:59","startHours":12.20633441610713,"endHours":13.983916413046767,"quality":"neutral"},{"name":"Labha","start":"13:59","end":"15:46","startHours":13.983916413046767,"endHours":15.761498409986405,"quality":"auspicious"},{"name":"Amṛta","start":"15:46","end":"17:32","startHours":15.761498409986405,"endHours":17.539080406926043,"quality":"auspicious"},{"name":"Kāla","start":"17:32","end":"19:19","startHours":17.539080406926043,"endHours":19.31666240386568,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:19","end":"20:32","startHours":19.31666240386568,"endHours":20.539080406926043,"quality":"auspicious"},{"name":"Amṛta","start":"20:32","end":"21:46","startHours":20.539080406926043,"endHours":21.761498409986405,"quality":"auspicious"},{"name":"Kāla","start":"21:46","end":"22:59","startHours":21.761498409986405,"endHours":22.983916413046767,"quality":"inauspicious"},{"name":"Śubha","start":"22:59","end":"00:12","startHours":22.983916413046767,"endHours":24.20633441610713,"quality":"auspicious"},{"name":"Roga","start":"00:12","end":"01:26","startHours":24.20633441610713,"endHours":25.42875241916749,"quality":"inauspicious"},{"name":"Udveg","start":"01:26","end":"02:39","startHours":25.42875241916749,"endHours":26.651170422227853,"quality":"inauspicious"},{"name":"Chala","start":"02:39","end":"03:52","startHours":26.651170422227853,"endHours":27.873588425288215,"quality":"neutral"},{"name":"Labha","start":"03:52","end":"05:06","startHours":27.873588425288215,"endHours":29.096006428348577,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:06","end":"06:06","startHours":5.096006428348578,"endHours":6.096006428348578,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:06","end":"07:06","startHours":6.096006428348578,"endHours":7.096006428348578,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:06","end":"08:06","startHours":7.096006428348578,"endHours":8.096006428348577,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:06","end":"09:06","startHours":8.096006428348577,"endHours":9.096006428348577,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:06","end":"10:06","startHours":9.096006428348577,"endHours":10.096006428348577,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:06","end":"11:06","startHours":10.096006428348577,"endHours":11.096006428348577,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:06","end":"12:06","startHours":11.096006428348577,"endHours":12.096006428348577,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:06","end":"13:06","startHours":12.096006428348577,"endHours":13.096006428348577,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:06","end":"14:06","startHours":13.096006428348577,"endHours":14.096006428348577,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:06","end":"15:06","startHours":14.096006428348577,"endHours":15.096006428348577,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:06","end":"16:06","startHours":15.096006428348577,"endHours":16.096006428348577,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:06","end":"17:06","startHours":16.096006428348577,"endHours":17.096006428348577,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:06","end":"18:06","startHours":17.096006428348577,"endHours":18.096006428348577,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:06","end":"19:06","startHours":18.096006428348577,"endHours":19.096006428348577,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:06","end":"20:06","startHours":19.096006428348577,"endHours":20.096006428348577,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:06","end":"21:06","startHours":20.096006428348577,"endHours":21.096006428348577,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:06","end":"22:06","startHours":21.096006428348577,"endHours":22.096006428348577,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:06","end":"23:06","startHours":22.096006428348577,"endHours":23.096006428348577,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:06","end":"00:06","startHours":23.096006428348577,"endHours":24.096006428348577,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:06","end":"01:06","startHours":24.096006428348577,"endHours":25.096006428348577,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:06","end":"02:06","startHours":25.096006428348577,"endHours":26.096006428348577,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:06","end":"03:06","startHours":26.096006428348577,"endHours":27.096006428348577,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:06","end":"04:06","startHours":27.096006428348577,"endHours":28.096006428348577,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:06","end":"05:06","startHours":28.096006428348577,"endHours":29.096006428348577,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.250724788289123,"eotMinutes":4.177935033572184,"ayanamsa":26.4786}},"calendars":{"vikram_samvat":2244,"vikram_samvatsara":"Śārvarī","saka_samvat":2109,"saka_samvatsara":"Sarvajit","bengali_samvat":1594,"malayalam_era":1363,"nanakshahi_year":718,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Pūrṇimā · Vikram 2244 Śārvarī · Śaka 2109 Sarvajit"},"festivals":[{"id":"datta-jayanti","name":"Datta Jayantī","name_sanskrit":"दत्त जयन्ती","tradition":"Pan-Hindu","associated_deity":"Dattātreya (Brahmā + Viṣṇu + Śiva combined)","significance":"Birth of Dattātreya from Atri-Anusūyā; tri-mūrti unified avatāra.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":2,"sources":["Mārkaṇḍeya Purāṇa","Bhāgavata 4.1.15"]},{"id":"annapurna-jayanti","name":"Annapūrṇā Jayantī","name_sanskrit":"अन्नपूर्णा जयन्ती","tradition":"Shakta","associated_deity":"Devī Annapūrṇā (Pārvatī as nourishing mother)","significance":"Devī Annapūrṇā's manifestation; food-grain pūjā; Mārgaśīrṣa Pūrṇimā tradition.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3,"sources":["Annapūrṇā-stotra by Śaṅkarācārya"]}],"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":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5},{"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":"-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 December 15, 2187 CE · Perth, Australia · Vidhyamitra","description":"December 15, 2187 CE for Perth, Australia: Śukla Pūrṇimā, sūryodaya 05:06, sūryāsta 19:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/perth/2187-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/perth/2187-12-15","sa":"https://sa.vidhyamitra.com/city/perth/2187-12-15","hi":"https://hi.vidhyamitra.com/city/perth/2187-12-15","x-default":"https://vidhyamitra.com/city/perth/2187-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T02:39:12.369Z","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":"2026-06-03T02:39:12.369Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T02:39:12.369Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}