{"id":"vidhyamitra:city-day:perth:2170-12-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/perth/2170-12-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2170-12-21","date_display":"December 21, 2170 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":2170,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513990.770833,"kali_year":5272,"ahargana":1925525.2708,"sun":{"sidereal_longitude":242.2135,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":34.1932,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":151.9796,"elapsed_within_tithi_degrees":7.9796},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":34.1932,"elapsed_within_degrees":7.5265},"yoga":{"number":21,"name":"Siddha","sum_longitude":276.4067},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2170,"month":12,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513990.770833,"ahargana":1925525.2708,"kali_year":5272,"ayanamsa_lahiri":26.2413,"grahas":{"sun":{"sidereal_longitude":242.974423,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":35.797323000000006,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false,"latitude":-0.1735},"mars":{"sidereal_longitude":269.238423,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":225.85512300000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":167.68602299999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"venus":{"sidereal_longitude":196.01072299999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":303.72732299999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":36.4049,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":216.4049,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2170,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513990.770833,"kali_year":5272,"ahargana":1925525.2708,"sun":{"sidereal_longitude":242.2135,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":34.1932,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":151.9796,"elapsed_within_tithi_degrees":7.9796},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":34.1932,"elapsed_within_degrees":7.5265},"yoga":{"number":21,"name":"Siddha","sum_longitude":276.4067},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.173,"elongation":151.98},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.173,"opposition_distance":28.02}},"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":"05:08","sunsetLocal":"19:22","solarNoonLocal":"12:15","dayLengthHours":14.239756902119034,"dayLengthDisplay":"14 Hours 14 Mins 23 Secs","nightLengthDisplay":"9 Hours 45 Mins 37 Secs","moonriseLocal":"17:18","moonsetLocal":"03:35","rahuKala":{"name":"Rāhu Kāla","start":"10:28","end":"12:15","startHours":10.472953230452749,"endHours":12.252922843217629,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:49","end":"17:36","startHours":15.812862068747386,"endHours":17.592831681512266,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:55","end":"08:42","startHours":6.9130140049229905,"endHours":8.692983617687869,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:56","startHours":8.455654335985885,"endHours":8.930312899389854,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:44","end":"06:06","startHours":5.726367596413071,"endHours":6.106094447136245,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:44","startHours":11.77826427981366,"endHours":12.727581406621598,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:14","end":"04:11","startHours":3.2344101385422404,"endHours":4.183727265350176,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:57","end":"05:08","startHours":3.9463979836481915,"endHours":5.133044392158111,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:35","startHours":14.626215660237467,"endHours":15.575532787045402,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:10","end":"19:34","startHours":19.172801294277146,"endHours":19.572801294277145,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:22","end":"19:58","startHours":19.372801294277146,"endHours":19.966124498532107,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:07","end":"20:52","startHours":19.122801294277146,"endHours":20.872801294277146,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:44","startHours":23.778264279813662,"endHours":24.727581406621596,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:08","end":"06:55","startHours":5.133044392158111,"endHours":6.9130140049229905,"quality":"neutral"},{"name":"Labha","start":"06:55","end":"08:42","startHours":6.9130140049229905,"endHours":8.692983617687869,"quality":"auspicious"},{"name":"Amṛta","start":"08:42","end":"10:28","startHours":8.692983617687869,"endHours":10.472953230452749,"quality":"auspicious"},{"name":"Kāla","start":"10:28","end":"12:15","startHours":10.472953230452749,"endHours":12.252922843217629,"quality":"inauspicious"},{"name":"Śubha","start":"12:15","end":"14:02","startHours":12.252922843217629,"endHours":14.032892455982509,"quality":"auspicious"},{"name":"Roga","start":"14:02","end":"15:49","startHours":14.032892455982509,"endHours":15.812862068747386,"quality":"inauspicious"},{"name":"Udveg","start":"15:49","end":"17:36","startHours":15.812862068747386,"endHours":17.592831681512266,"quality":"inauspicious"},{"name":"Chala","start":"17:36","end":"19:22","startHours":17.592831681512266,"endHours":19.372801294277146,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:22","end":"20:36","startHours":19.372801294277146,"endHours":20.592831681512266,"quality":"inauspicious"},{"name":"Udveg","start":"20:36","end":"21:49","startHours":20.592831681512266,"endHours":21.812862068747386,"quality":"inauspicious"},{"name":"Chala","start":"21:49","end":"23:02","startHours":21.812862068747386,"endHours":23.03289245598251,"quality":"neutral"},{"name":"Labha","start":"23:02","end":"00:15","startHours":23.03289245598251,"endHours":24.25292284321763,"quality":"auspicious"},{"name":"Amṛta","start":"00:15","end":"01:28","startHours":24.25292284321763,"endHours":25.47295323045275,"quality":"auspicious"},{"name":"Kāla","start":"01:28","end":"02:42","startHours":25.47295323045275,"endHours":26.692983617687872,"quality":"inauspicious"},{"name":"Śubha","start":"02:42","end":"03:55","startHours":26.692983617687872,"endHours":27.913014004922992,"quality":"auspicious"},{"name":"Roga","start":"03:55","end":"05:08","startHours":27.913014004922992,"endHours":29.133044392158112,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:08","end":"06:08","startHours":5.133044392158111,"endHours":6.133044392158111,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:08","end":"07:08","startHours":6.133044392158111,"endHours":7.133044392158111,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:08","end":"08:08","startHours":7.133044392158111,"endHours":8.133044392158112,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:08","end":"09:08","startHours":8.133044392158112,"endHours":9.133044392158112,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:08","end":"10:08","startHours":9.133044392158112,"endHours":10.133044392158112,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:08","end":"11:08","startHours":10.133044392158112,"endHours":11.133044392158112,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:08","end":"12:08","startHours":11.133044392158112,"endHours":12.133044392158112,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:08","end":"13:08","startHours":12.133044392158112,"endHours":13.133044392158112,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:08","end":"14:08","startHours":13.133044392158112,"endHours":14.133044392158112,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:08","end":"15:08","startHours":14.133044392158112,"endHours":15.133044392158112,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:08","end":"16:08","startHours":15.133044392158112,"endHours":16.133044392158112,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:08","end":"17:08","startHours":16.133044392158112,"endHours":17.133044392158112,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:08","end":"18:08","startHours":17.133044392158112,"endHours":18.133044392158112,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:08","end":"19:08","startHours":18.133044392158112,"endHours":19.133044392158112,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:08","end":"20:08","startHours":19.133044392158112,"endHours":20.133044392158112,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:08","end":"21:08","startHours":20.133044392158112,"endHours":21.133044392158112,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:08","end":"22:08","startHours":21.133044392158112,"endHours":22.133044392158112,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:08","end":"23:08","startHours":22.133044392158112,"endHours":23.133044392158112,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:08","end":"00:08","startHours":23.133044392158112,"endHours":24.133044392158112,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:08","end":"01:08","startHours":24.133044392158112,"endHours":25.133044392158112,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:08","end":"02:08","startHours":25.133044392158112,"endHours":26.133044392158112,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:08","end":"03:08","startHours":26.133044392158112,"endHours":27.133044392158112,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:08","end":"04:08","startHours":27.133044392158112,"endHours":28.133044392158112,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:08","end":"05:08","startHours":28.133044392158112,"endHours":29.133044392158112,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"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":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.434173194884302,"eotMinutes":1.382629406942221,"ayanamsa":26.2413}},"calendars":{"vikram_samvat":2227,"vikram_samvatsara":"Subhānu","saka_samvat":2092,"saka_samvatsara":"Pramoda","bengali_samvat":1577,"malayalam_era":1346,"nanakshahi_year":701,"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":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Trayodaśī · Vikram 2227 Subhānu · Śaka 2092 Pramoda"},"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":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 21, 2170 CE · Perth, Australia · Vidhyamitra","description":"December 21, 2170 CE for Perth, Australia: Śukla Trayodaśī, sūryodaya 05:08, sūryāsta 19:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/perth/2170-12-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/perth/2170-12-21","sa":"https://sa.vidhyamitra.com/city/perth/2170-12-21","hi":"https://hi.vidhyamitra.com/city/perth/2170-12-21","x-default":"https://vidhyamitra.com/city/perth/2170-12-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T07:11:44.040Z","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":"2026-06-03T07:11:44.040Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T07:11:44.040Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}