{"id":"vidhyamitra:city-day:perth:2168-04-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/perth/2168-04-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2168-04-20","date_display":"April 20, 2168 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":2168,"month":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513015.770833,"kali_year":5270,"ahargana":1924550.2708,"sun":{"sidereal_longitude":4.1208,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":157.7629,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":153.6421,"elapsed_within_tithi_degrees":9.6421},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":157.7629,"elapsed_within_degrees":11.0962},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":161.8837},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":2168,"month":4,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513015.770833,"ahargana":1924550.2708,"kali_year":5270,"ayanamsa_lahiri":26.204,"grahas":{"sun":{"sidereal_longitude":4.395375000000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":157.31477500000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false,"latitude":4.2199},"mars":{"sidereal_longitude":103.729375,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":11.914975000000027,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":70.97027500000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":0.7437750000000278,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":283.97417500000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":88.0651,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":268.0651,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":2168,"month":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513015.770833,"kali_year":5270,"ahargana":1924550.2708,"sun":{"sidereal_longitude":4.1208,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":157.7629,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":153.6421,"elapsed_within_tithi_degrees":9.6421},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":157.7629,"elapsed_within_degrees":11.0962},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":161.8837},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.22,"elongation":153.642},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.22,"opposition_distance":26.358}},"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":"06:41","sunsetLocal":"17:50","solarNoonLocal":"12:16","dayLengthHours":11.146880008888616,"dayLengthDisplay":"11 Hours 08 Mins 49 Secs","nightLengthDisplay":"12 Hours 51 Mins 11 Secs","moonriseLocal":"16:21","moonsetLocal":"04:34","rahuKala":{"name":"Rāhu Kāla","start":"12:16","end":"13:39","startHours":12.25983727557265,"endHours":13.653197276683727,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:05","end":"09:28","startHours":8.07975727223942,"endHours":9.473117273350496,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:52","end":"12:16","startHours":10.866477274461573,"endHours":12.25983727557265,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:17","end":"09:40","startHours":9.28733593986902,"endHours":9.658898606831974,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:09","end":"07:27","startHours":7.150850604832034,"endHours":7.448100738402397,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:38","startHours":11.888274608609697,"endHours":12.631399942535603,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:12","end":"05:57","startHours":5.200146603276527,"endHours":5.943271937202435,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:45","end":"06:41","startHours":5.7574906037209574,"endHours":6.686397271128342,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:52","startHours":14.11765061038742,"endHours":14.860775944313328,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.63327728001696,"endHours":18.033277280016957,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:18","startHours":17.833277280016958,"endHours":18.29773061372065,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.583277280016958,"endHours":19.333277280016958,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:38","startHours":23.888274608609695,"endHours":24.631399942535605,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:41","end":"08:05","startHours":6.686397271128342,"endHours":8.07975727223942,"quality":"auspicious"},{"name":"Amṛta","start":"08:05","end":"09:28","startHours":8.07975727223942,"endHours":9.473117273350496,"quality":"auspicious"},{"name":"Kāla","start":"09:28","end":"10:52","startHours":9.473117273350496,"endHours":10.866477274461573,"quality":"inauspicious"},{"name":"Śubha","start":"10:52","end":"12:16","startHours":10.866477274461573,"endHours":12.25983727557265,"quality":"auspicious"},{"name":"Roga","start":"12:16","end":"13:39","startHours":12.25983727557265,"endHours":13.653197276683727,"quality":"inauspicious"},{"name":"Udveg","start":"13:39","end":"15:03","startHours":13.653197276683727,"endHours":15.046557277794804,"quality":"inauspicious"},{"name":"Chala","start":"15:03","end":"16:26","startHours":15.046557277794804,"endHours":16.43991727890588,"quality":"neutral"},{"name":"Labha","start":"16:26","end":"17:50","startHours":16.43991727890588,"endHours":17.833277280016958,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:50","end":"19:26","startHours":17.833277280016958,"endHours":19.43991727890588,"quality":"inauspicious"},{"name":"Chala","start":"19:26","end":"21:03","startHours":19.43991727890588,"endHours":21.046557277794804,"quality":"neutral"},{"name":"Labha","start":"21:03","end":"22:39","startHours":21.046557277794804,"endHours":22.653197276683727,"quality":"auspicious"},{"name":"Amṛta","start":"22:39","end":"00:16","startHours":22.653197276683727,"endHours":24.25983727557265,"quality":"auspicious"},{"name":"Kāla","start":"00:16","end":"01:52","startHours":24.25983727557265,"endHours":25.866477274461573,"quality":"inauspicious"},{"name":"Śubha","start":"01:52","end":"03:28","startHours":25.866477274461573,"endHours":27.473117273350496,"quality":"auspicious"},{"name":"Roga","start":"03:28","end":"05:05","startHours":27.473117273350496,"endHours":29.07975727223942,"quality":"inauspicious"},{"name":"Udveg","start":"05:05","end":"06:41","startHours":29.07975727223942,"endHours":30.686397271128342,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:41","end":"07:41","startHours":6.686397271128342,"endHours":7.686397271128342,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:41","end":"08:41","startHours":7.686397271128342,"endHours":8.686397271128342,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:41","end":"09:41","startHours":8.686397271128342,"endHours":9.686397271128342,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:41","end":"10:41","startHours":9.686397271128342,"endHours":10.686397271128342,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:41","end":"11:41","startHours":10.686397271128342,"endHours":11.686397271128342,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:41","end":"12:41","startHours":11.686397271128342,"endHours":12.686397271128342,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:41","end":"13:41","startHours":12.686397271128342,"endHours":13.686397271128342,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:41","end":"14:41","startHours":13.686397271128342,"endHours":14.686397271128342,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:41","end":"15:41","startHours":14.686397271128342,"endHours":15.686397271128342,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:41","end":"16:41","startHours":15.686397271128342,"endHours":16.686397271128342,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:41","end":"17:41","startHours":16.686397271128342,"endHours":17.686397271128342,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:41","end":"18:41","startHours":17.686397271128342,"endHours":18.686397271128342,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:41","end":"19:41","startHours":18.686397271128342,"endHours":19.686397271128342,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:41","end":"20:41","startHours":19.686397271128342,"endHours":20.686397271128342,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:41","end":"21:41","startHours":20.686397271128342,"endHours":21.686397271128342,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:41","end":"22:41","startHours":21.686397271128342,"endHours":22.686397271128342,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:41","end":"23:41","startHours":22.686397271128342,"endHours":23.686397271128342,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:41","end":"00:41","startHours":23.686397271128342,"endHours":24.686397271128342,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:41","end":"01:41","startHours":24.686397271128342,"endHours":25.686397271128342,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:41","end":"02:41","startHours":25.686397271128342,"endHours":26.686397271128342,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:41","end":"03:41","startHours":26.686397271128342,"endHours":27.686397271128342,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:41","end":"04:41","startHours":27.686397271128342,"endHours":28.686397271128342,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:41","end":"05:41","startHours":28.686397271128342,"endHours":29.686397271128342,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:41","end":"06:41","startHours":29.686397271128342,"endHours":30.686397271128342,"planetary_lord":"Sun"}],"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"South-West","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":11.680765916009431,"eotMinutes":0.9677634656409275,"ayanamsa":26.204}},"calendars":{"vikram_samvat":2225,"vikram_samvatsara":"Vṛṣa","saka_samvat":2090,"saka_samvatsara":"Vibhava","bengali_samvat":1575,"malayalam_era":1344,"nanakshahi_year":699,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Trayodaśī · Vikram 2225 Vṛṣa · Śaka 2090 Vibhava"},"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":[]},"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 April 20, 2168 CE · Perth, Australia · Vidhyamitra","description":"April 20, 2168 CE for Perth, Australia: Śukla Trayodaśī, sūryodaya 06:41, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/perth/2168-04-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/perth/2168-04-20","sa":"https://sa.vidhyamitra.com/city/perth/2168-04-20","hi":"https://hi.vidhyamitra.com/city/perth/2168-04-20","x-default":"https://vidhyamitra.com/city/perth/2168-04-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T07:25:23.325Z","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":"2026-06-02T07:25:23.325Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T07:25:23.325Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}