{"id":"vidhyamitra:city-day:ranchi:2072-07-28:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2072-07-28","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2072-07-28","date_display":"July 28, 2072 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":2072,"month":7,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478051.770833,"kali_year":5174,"ahargana":1889586.2708,"sun":{"sidereal_longitude":100.3069,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":258.2102,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":157.9033,"elapsed_within_tithi_degrees":1.9033},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":258.2102,"elapsed_within_degrees":4.8769},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":358.5171},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2072,"month":7,"day":28,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2478051.770833,"ahargana":1889586.2708,"kali_year":5174,"ayanamsa_lahiri":24.8668,"grahas":{"sun":{"sidereal_longitude":100.99265700000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":258.9405569999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false,"latitude":3.9876},"mars":{"sidereal_longitude":146.375857,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":82.12105700000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":63.572857,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":118.22675700000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":191.61825699999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":140.626,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":320.626,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":2072,"month":7,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478051.770833,"kali_year":5174,"ahargana":1889586.2708,"sun":{"sidereal_longitude":100.3069,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":258.2102,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":157.9033,"elapsed_within_tithi_degrees":1.9033},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":258.2102,"elapsed_within_degrees":4.8769},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":358.5171},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.988,"elongation":157.903},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.988,"opposition_distance":22.097}},"eclipse_window_40days":[]},"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"sunriseLocal":"05:17","sunsetLocal":"18:33","solarNoonLocal":"11:55","dayLengthHours":13.256147912334303,"dayLengthDisplay":"13 Hours 15 Mins 22 Secs","nightLengthDisplay":"10 Hours 44 Mins 38 Secs","moonriseLocal":"17:06","moonsetLocal":"03:48","rahuKala":{"name":"Rāhu Kāla","start":"13:34","end":"15:14","startHours":13.572551033648473,"endHours":15.229569522690262,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:17","end":"06:57","startHours":5.287458588439534,"endHours":6.944477077481322,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:36","end":"10:16","startHours":8.60149556652311,"endHours":10.258514055564898,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:23","end":"08:49","startHours":8.380559767984206,"endHours":8.822431365062016,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:50","end":"06:12","startHours":5.839798084786797,"endHours":6.193295362449045,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:21","startHours":11.473660947528876,"endHours":12.357404141684496,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:31","end":"04:24","startHours":3.519972200128294,"endHours":4.403715394283914,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:11","end":"05:17","startHours":4.182779595745009,"endHours":5.287458588439534,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"15:01","startHours":14.124890529995737,"endHours":15.008633724151357,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:21","end":"18:45","startHours":18.343606500773838,"endHours":18.743606500773836,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:33","end":"19:06","startHours":18.543606500773837,"endHours":19.0959459971211,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:18","end":"20:03","startHours":18.293606500773837,"endHours":20.043606500773837,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:21","startHours":23.473660947528874,"endHours":24.357404141684494,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:17","end":"06:57","startHours":5.287458588439534,"endHours":6.944477077481322,"quality":"auspicious"},{"name":"Roga","start":"06:57","end":"08:36","startHours":6.944477077481322,"endHours":8.60149556652311,"quality":"inauspicious"},{"name":"Udveg","start":"08:36","end":"10:16","startHours":8.60149556652311,"endHours":10.258514055564898,"quality":"inauspicious"},{"name":"Chala","start":"10:16","end":"11:55","startHours":10.258514055564898,"endHours":11.915532544606686,"quality":"neutral"},{"name":"Labha","start":"11:55","end":"13:34","startHours":11.915532544606686,"endHours":13.572551033648473,"quality":"auspicious"},{"name":"Amṛta","start":"13:34","end":"15:14","startHours":13.572551033648473,"endHours":15.229569522690262,"quality":"auspicious"},{"name":"Kāla","start":"15:14","end":"16:53","startHours":15.229569522690262,"endHours":16.88658801173205,"quality":"inauspicious"},{"name":"Śubha","start":"16:53","end":"18:33","startHours":16.88658801173205,"endHours":18.543606500773837,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:33","end":"19:53","startHours":18.543606500773837,"endHours":19.886588011732048,"quality":"auspicious"},{"name":"Kāla","start":"19:53","end":"21:14","startHours":19.886588011732048,"endHours":21.229569522690262,"quality":"inauspicious"},{"name":"Śubha","start":"21:14","end":"22:34","startHours":21.229569522690262,"endHours":22.572551033648473,"quality":"auspicious"},{"name":"Roga","start":"22:34","end":"23:55","startHours":22.572551033648473,"endHours":23.915532544606684,"quality":"inauspicious"},{"name":"Udveg","start":"23:55","end":"01:16","startHours":23.915532544606684,"endHours":25.2585140555649,"quality":"inauspicious"},{"name":"Chala","start":"01:16","end":"02:36","startHours":25.2585140555649,"endHours":26.60149556652311,"quality":"neutral"},{"name":"Labha","start":"02:36","end":"03:57","startHours":26.60149556652311,"endHours":27.944477077481324,"quality":"auspicious"},{"name":"Amṛta","start":"03:57","end":"05:17","startHours":27.944477077481324,"endHours":29.287458588439534,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:17","end":"06:17","startHours":5.287458588439534,"endHours":6.287458588439534,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:17","end":"07:17","startHours":6.287458588439534,"endHours":7.287458588439534,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:17","end":"08:17","startHours":7.287458588439534,"endHours":8.287458588439534,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:17","end":"09:17","startHours":8.287458588439534,"endHours":9.287458588439534,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:17","end":"10:17","startHours":9.287458588439534,"endHours":10.287458588439534,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:17","end":"11:17","startHours":10.287458588439534,"endHours":11.287458588439534,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:17","end":"12:17","startHours":11.287458588439534,"endHours":12.287458588439534,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:17","end":"13:17","startHours":12.287458588439534,"endHours":13.287458588439534,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:17","end":"14:17","startHours":13.287458588439534,"endHours":14.287458588439534,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:17","end":"15:17","startHours":14.287458588439534,"endHours":15.287458588439534,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:17","end":"16:17","startHours":15.287458588439534,"endHours":16.287458588439534,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:17","end":"17:17","startHours":16.287458588439534,"endHours":17.287458588439534,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:17","end":"18:17","startHours":17.287458588439534,"endHours":18.287458588439534,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:17","end":"19:17","startHours":18.287458588439534,"endHours":19.287458588439534,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:17","end":"20:17","startHours":19.287458588439534,"endHours":20.287458588439534,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:17","end":"21:17","startHours":20.287458588439534,"endHours":21.287458588439534,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:17","end":"22:17","startHours":21.287458588439534,"endHours":22.287458588439534,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:17","end":"23:17","startHours":22.287458588439534,"endHours":23.287458588439534,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:17","end":"00:17","startHours":23.287458588439534,"endHours":24.287458588439534,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:17","end":"01:17","startHours":24.287458588439534,"endHours":25.287458588439534,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:17","end":"02:17","startHours":25.287458588439534,"endHours":26.287458588439534,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:17","end":"03:17","startHours":26.287458588439534,"endHours":27.287458588439534,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:17","end":"04:17","startHours":27.287458588439534,"endHours":28.287458588439534,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:17","end":"05:17","startHours":28.287458588439534,"endHours":29.287458588439534,"planetary_lord":"Moon"}],"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":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.804788032624273,"eotMinutes":-6.170352676401169,"ayanamsa":24.8668}},"calendars":{"vikram_samvat":2129,"vikram_samvatsara":"Viśvāvasu","saka_samvat":1994,"saka_samvatsara":"Nandana","bengali_samvat":1479,"malayalam_era":1248,"nanakshahi_year":603,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Caturdaśī · Vikram 2129 Viśvāvasu · Śaka 1994 Nandana"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"ranchi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 28, 2072 CE · Ranchi, Jharkhand · Vidhyamitra","description":"July 28, 2072 CE for Ranchi, Jharkhand: Śukla Caturdaśī, sūryodaya 05:17, sūryāsta 18:33.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2072-07-28","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2072-07-28","sa":"https://sa.vidhyamitra.com/city/ranchi/2072-07-28","hi":"https://hi.vidhyamitra.com/city/ranchi/2072-07-28","x-default":"https://vidhyamitra.com/city/ranchi/2072-07-28"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T03:30:56.420Z","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":"2026-06-01T03:30:56.420Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T03:30:56.420Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}