{"id":"vidhyamitra:city-day:perth:2172-05-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/perth/2172-05-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2172-05-20","date_display":"May 20, 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":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514506.770833,"kali_year":5274,"ahargana":1926041.2708,"sun":{"sidereal_longitude":33.0347,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":1.7515,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.7168,"elapsed_within_tithi_degrees":4.7168},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":1.7515,"elapsed_within_degrees":1.7515},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":34.7862},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":5,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2514506.770833,"ahargana":1926041.2708,"kali_year":5274,"ayanamsa_lahiri":26.2611,"grahas":{"sun":{"sidereal_longitude":33.47610800000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":2.8477080000000115,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false,"latitude":-0.5722},"mars":{"sidereal_longitude":166.59400800000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":53.10440799999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":193.83470799999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":356.207708,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":330.921508,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":9.0647,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":189.0647,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","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":2172,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514506.770833,"kali_year":5274,"ahargana":1926041.2708,"sun":{"sidereal_longitude":33.0347,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":1.7515,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.7168,"elapsed_within_tithi_degrees":4.7168},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":1.7515,"elapsed_within_degrees":1.7515},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":34.7862},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.572,"elongation":31.283},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.572,"opposition_distance":148.717}},"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":"07:01","sunsetLocal":"17:24","solarNoonLocal":"12:13","dayLengthHours":10.38455257001196,"dayLengthDisplay":"10 Hours 23 Mins 04 Secs","nightLengthDisplay":"13 Hours 36 Mins 56 Secs","moonriseLocal":"04:36","moonsetLocal":"15:45","rahuKala":{"name":"Rāhu Kāla","start":"12:13","end":"13:31","startHours":12.215994783063579,"endHours":13.514063854315076,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:19","end":"09:37","startHours":8.321787569309095,"endHours":9.61985664056059,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:55","end":"12:13","startHours":10.917925711812085,"endHours":12.215994783063579,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:27","end":"09:48","startHours":9.446780764393724,"endHours":9.792932516727456,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:27","end":"07:44","startHours":7.456408188474764,"endHours":7.73332959034175,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:34","startHours":11.869843030729847,"endHours":12.56214653539731,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:38","end":"06:20","startHours":5.639111488722671,"endHours":6.331414993390135,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:10","end":"07:01","startHours":6.158339117223269,"endHours":7.023718498057599,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:38","startHours":13.946753544732239,"endHours":14.639057049399703,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:12","end":"17:36","startHours":17.20827106806956,"endHours":17.60827106806956,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:24","end":"17:50","startHours":17.40827106806956,"endHours":17.840960758486723,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:09","end":"18:54","startHours":17.15827106806956,"endHours":18.90827106806956,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:34","startHours":23.869843030729847,"endHours":24.56214653539731,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:01","end":"08:19","startHours":7.023718498057599,"endHours":8.321787569309095,"quality":"auspicious"},{"name":"Amṛta","start":"08:19","end":"09:37","startHours":8.321787569309095,"endHours":9.61985664056059,"quality":"auspicious"},{"name":"Kāla","start":"09:37","end":"10:55","startHours":9.61985664056059,"endHours":10.917925711812085,"quality":"inauspicious"},{"name":"Śubha","start":"10:55","end":"12:13","startHours":10.917925711812085,"endHours":12.215994783063579,"quality":"auspicious"},{"name":"Roga","start":"12:13","end":"13:31","startHours":12.215994783063579,"endHours":13.514063854315076,"quality":"inauspicious"},{"name":"Udveg","start":"13:31","end":"14:49","startHours":13.514063854315076,"endHours":14.81213292556657,"quality":"inauspicious"},{"name":"Chala","start":"14:49","end":"16:07","startHours":14.81213292556657,"endHours":16.110201996818063,"quality":"neutral"},{"name":"Labha","start":"16:07","end":"17:24","startHours":16.110201996818063,"endHours":17.40827106806956,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:24","end":"19:07","startHours":17.40827106806956,"endHours":19.110201996818066,"quality":"inauspicious"},{"name":"Chala","start":"19:07","end":"20:49","startHours":19.110201996818066,"endHours":20.81213292556657,"quality":"neutral"},{"name":"Labha","start":"20:49","end":"22:31","startHours":20.81213292556657,"endHours":22.514063854315076,"quality":"auspicious"},{"name":"Amṛta","start":"22:31","end":"00:13","startHours":22.514063854315076,"endHours":24.21599478306358,"quality":"auspicious"},{"name":"Kāla","start":"00:13","end":"01:55","startHours":24.21599478306358,"endHours":25.917925711812085,"quality":"inauspicious"},{"name":"Śubha","start":"01:55","end":"03:37","startHours":25.917925711812085,"endHours":27.61985664056059,"quality":"auspicious"},{"name":"Roga","start":"03:37","end":"05:19","startHours":27.61985664056059,"endHours":29.321787569309095,"quality":"inauspicious"},{"name":"Udveg","start":"05:19","end":"07:01","startHours":29.321787569309095,"endHours":31.023718498057598,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:01","end":"08:01","startHours":7.023718498057599,"endHours":8.0237184980576,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:01","end":"09:01","startHours":8.0237184980576,"endHours":9.0237184980576,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:01","end":"10:01","startHours":9.0237184980576,"endHours":10.0237184980576,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:01","end":"11:01","startHours":10.0237184980576,"endHours":11.0237184980576,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:01","end":"12:01","startHours":11.0237184980576,"endHours":12.0237184980576,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:01","end":"13:01","startHours":12.0237184980576,"endHours":13.0237184980576,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:01","end":"14:01","startHours":13.0237184980576,"endHours":14.0237184980576,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:01","end":"15:01","startHours":14.0237184980576,"endHours":15.0237184980576,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:01","end":"16:01","startHours":15.0237184980576,"endHours":16.023718498057598,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:01","end":"17:01","startHours":16.023718498057598,"endHours":17.023718498057598,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:01","end":"18:01","startHours":17.023718498057598,"endHours":18.023718498057598,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:01","end":"19:01","startHours":18.023718498057598,"endHours":19.023718498057598,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:01","end":"20:01","startHours":19.023718498057598,"endHours":20.023718498057598,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:01","end":"21:01","startHours":20.023718498057598,"endHours":21.023718498057598,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:01","end":"22:01","startHours":21.023718498057598,"endHours":22.023718498057598,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:01","end":"23:01","startHours":22.023718498057598,"endHours":23.023718498057598,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:01","end":"00:01","startHours":23.023718498057598,"endHours":24.023718498057598,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:01","end":"01:01","startHours":24.023718498057598,"endHours":25.023718498057598,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:01","end":"02:01","startHours":25.023718498057598,"endHours":26.023718498057598,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:01","end":"03:01","startHours":26.023718498057598,"endHours":27.023718498057598,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:01","end":"04:01","startHours":27.023718498057598,"endHours":28.023718498057598,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:01","end":"05:01","startHours":28.023718498057598,"endHours":29.023718498057598,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:01","end":"06:01","startHours":29.023718498057598,"endHours":30.023718498057598,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:01","end":"07:01","startHours":30.023718498057598,"endHours":31.023718498057598,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.092128699158,"eotMinutes":3.5983130161851964,"ayanamsa":26.2611}},"calendars":{"vikram_samvat":2229,"vikram_samvatsara":"Pārthiva","saka_samvat":2094,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1579,"malayalam_era":1348,"nanakshahi_year":703,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Trayodaśī · Vikram 2229 Pārthiva · Śaka 2094 Aṅgirasa"},"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":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"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}]},"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 May 20, 2172 CE · Perth, Australia · Vidhyamitra","description":"May 20, 2172 CE for Perth, Australia: Kṛṣṇa Trayodaśī, sūryodaya 07:01, sūryāsta 17:24.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/perth/2172-05-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/perth/2172-05-20","sa":"https://sa.vidhyamitra.com/city/perth/2172-05-20","hi":"https://hi.vidhyamitra.com/city/perth/2172-05-20","x-default":"https://vidhyamitra.com/city/perth/2172-05-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T15:31:22.736Z","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":"2026-05-31T15:31:22.736Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T15:31:22.736Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}