{"id":"vidhyamitra:city-day:melbourne:2159-04-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/melbourne/2159-04-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-04-20","date_display":"April 20, 2159 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":2159,"month":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509727.770833,"kali_year":5261,"ahargana":1921262.2708,"sun":{"sidereal_longitude":3.4671,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":24.2433,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":20.7762,"elapsed_within_tithi_degrees":8.7762},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":24.2433,"elapsed_within_degrees":10.91},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":27.7104},"karana":{"half_tithi_index":3,"name":"Kaulava"},"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":2159,"month":4,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509727.770833,"ahargana":1921262.2708,"kali_year":5261,"ayanamsa_lahiri":26.0783,"grahas":{"sun":{"sidereal_longitude":3.7183009999999967,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":26.75670100000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false,"latitude":3.8166},"mars":{"sidereal_longitude":243.46090100000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":358.384001,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":159.166201,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":47.00410099999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":177.19630099999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":262.2791,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":82.2791,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","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":2159,"month":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509727.770833,"kali_year":5261,"ahargana":1921262.2708,"sun":{"sidereal_longitude":3.4671,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":24.2433,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":20.7762,"elapsed_within_tithi_degrees":8.7762},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":24.2433,"elapsed_within_degrees":10.91},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":27.7104},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.817,"elongation":20.776},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.817,"opposition_distance":159.224}},"eclipse_window_40days":[]},"city":{"slug":"melbourne","name":"Melbourne, Australia","lat":-37.8136,"lon":144.9631,"tz_offset_hours":10,"country":"AU","tier":"diaspora"},"tier2":{"city":{"slug":"melbourne","name":"Melbourne, Australia","lat":-37.8136,"lon":144.9631,"tz_offset_hours":10,"country":"AU","tier":"diaspora"},"sunriseLocal":"06:51","sunsetLocal":"17:48","solarNoonLocal":"12:19","dayLengthHours":10.944727984137698,"dayLengthDisplay":"10 Hours 56 Mins 41 Secs","nightLengthDisplay":"13 Hours 03 Mins 19 Secs","moonriseLocal":"08:48","moonsetLocal":"18:54","rahuKala":{"name":"Rāhu Kāla","start":"10:57","end":"12:19","startHours":10.951572944222104,"endHours":12.319663942239316,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:03","end":"16:25","startHours":15.055845938273741,"endHours":16.423936936290954,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:13","end":"09:35","startHours":8.21539094818768,"endHours":9.583481946204893,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:24","end":"09:46","startHours":9.40106981313593,"endHours":9.765894079273854,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:18","end":"07:36","startHours":7.303330282842873,"endHours":7.595189695753211,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:41","startHours":11.954839676101395,"endHours":12.68448820837724,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:23","end":"06:07","startHours":5.388002885618775,"endHours":6.1176514178946215,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:56","end":"06:51","startHours":5.93523928482566,"endHours":6.847299950170468,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:52","startHours":14.143785272928934,"endHours":14.87343380520478,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:36","end":"18:00","startHours":17.592027934308167,"endHours":17.992027934308165,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:48","end":"18:15","startHours":17.792027934308166,"endHours":18.24805826698057,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:33","end":"19:18","startHours":17.542027934308166,"endHours":19.292027934308166,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:41","startHours":23.954839676101393,"endHours":24.68448820837724,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:51","end":"08:13","startHours":6.847299950170468,"endHours":8.21539094818768,"quality":"neutral"},{"name":"Labha","start":"08:13","end":"09:35","startHours":8.21539094818768,"endHours":9.583481946204893,"quality":"auspicious"},{"name":"Amṛta","start":"09:35","end":"10:57","startHours":9.583481946204893,"endHours":10.951572944222104,"quality":"auspicious"},{"name":"Kāla","start":"10:57","end":"12:19","startHours":10.951572944222104,"endHours":12.319663942239316,"quality":"inauspicious"},{"name":"Śubha","start":"12:19","end":"13:41","startHours":12.319663942239316,"endHours":13.687754940256529,"quality":"auspicious"},{"name":"Roga","start":"13:41","end":"15:03","startHours":13.687754940256529,"endHours":15.055845938273741,"quality":"inauspicious"},{"name":"Udveg","start":"15:03","end":"16:25","startHours":15.055845938273741,"endHours":16.423936936290954,"quality":"inauspicious"},{"name":"Chala","start":"16:25","end":"17:48","startHours":16.423936936290954,"endHours":17.792027934308166,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:48","end":"19:25","startHours":17.792027934308166,"endHours":19.423936936290954,"quality":"inauspicious"},{"name":"Udveg","start":"19:25","end":"21:03","startHours":19.423936936290954,"endHours":21.05584593827374,"quality":"inauspicious"},{"name":"Chala","start":"21:03","end":"22:41","startHours":21.05584593827374,"endHours":22.68775494025653,"quality":"neutral"},{"name":"Labha","start":"22:41","end":"00:19","startHours":22.68775494025653,"endHours":24.319663942239316,"quality":"auspicious"},{"name":"Amṛta","start":"00:19","end":"01:57","startHours":24.319663942239316,"endHours":25.951572944222107,"quality":"auspicious"},{"name":"Kāla","start":"01:57","end":"03:35","startHours":25.951572944222107,"endHours":27.58348194620489,"quality":"inauspicious"},{"name":"Śubha","start":"03:35","end":"05:13","startHours":27.58348194620489,"endHours":29.215390948187682,"quality":"auspicious"},{"name":"Roga","start":"05:13","end":"06:51","startHours":29.215390948187682,"endHours":30.847299950170466,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:51","end":"07:51","startHours":6.847299950170468,"endHours":7.847299950170468,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:51","end":"08:51","startHours":7.847299950170468,"endHours":8.847299950170468,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:51","end":"09:51","startHours":8.847299950170468,"endHours":9.847299950170468,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:51","end":"10:51","startHours":9.847299950170468,"endHours":10.847299950170468,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:51","end":"11:51","startHours":10.847299950170468,"endHours":11.847299950170468,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:51","end":"12:51","startHours":11.847299950170468,"endHours":12.847299950170468,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:51","end":"13:51","startHours":12.847299950170468,"endHours":13.847299950170468,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:51","end":"14:51","startHours":13.847299950170468,"endHours":14.847299950170468,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:51","end":"15:51","startHours":14.847299950170468,"endHours":15.847299950170468,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:51","end":"16:51","startHours":15.847299950170468,"endHours":16.847299950170466,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:51","end":"17:51","startHours":16.847299950170466,"endHours":17.847299950170466,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:51","end":"18:51","startHours":17.847299950170466,"endHours":18.847299950170466,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:51","end":"19:51","startHours":18.847299950170466,"endHours":19.847299950170466,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:51","end":"20:51","startHours":19.847299950170466,"endHours":20.847299950170466,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:51","end":"21:51","startHours":20.847299950170466,"endHours":21.847299950170466,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:51","end":"22:51","startHours":21.847299950170466,"endHours":22.847299950170466,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:51","end":"23:51","startHours":22.847299950170466,"endHours":23.847299950170466,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:51","end":"00:51","startHours":23.847299950170466,"endHours":24.847299950170466,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:51","end":"01:51","startHours":24.847299950170466,"endHours":25.847299950170466,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:51","end":"02:51","startHours":25.847299950170466,"endHours":26.847299950170466,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:51","end":"03:51","startHours":26.847299950170466,"endHours":27.847299950170466,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:51","end":"04:51","startHours":27.847299950170466,"endHours":28.847299950170466,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:51","end":"05:51","startHours":28.847299950170466,"endHours":29.847299950170466,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:51","end":"06:51","startHours":29.847299950170466,"endHours":30.847299950170466,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","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":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":11.399115144637543,"eotMinutes":0.9677634656409275,"ayanamsa":26.0783}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","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":"Vaiśākha Śukla Dvitīyā · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"festivals":[],"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":[]},"validity":{"eternal":false,"location_specific":"melbourne"},"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, 2159 CE · Melbourne, Australia · Vidhyamitra","description":"April 20, 2159 CE for Melbourne, Australia: Śukla Dvitīyā, sūryodaya 06:51, sūryāsta 17:48.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/melbourne/2159-04-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/melbourne/2159-04-20","sa":"https://sa.vidhyamitra.com/city/melbourne/2159-04-20","hi":"https://hi.vidhyamitra.com/city/melbourne/2159-04-20","x-default":"https://vidhyamitra.com/city/melbourne/2159-04-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T12:39:03.675Z","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":"2026-06-02T12:39:03.675Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T12:39:03.675Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}