{"id":"vidhyamitra:city-day:ranchi:2075-03-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2075-03-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2075-03-20","date_display":"March 20, 2075 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":2075,"month":3,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479016.770833,"kali_year":5176,"ahargana":1890551.2708,"sun":{"sidereal_longitude":334.6665,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":15.2073,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":40.5408,"elapsed_within_tithi_degrees":4.5408},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1,"moon_longitude":15.2073,"elapsed_within_degrees":1.874},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":349.8738},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"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":2075,"month":3,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2479016.770833,"ahargana":1890551.2708,"kali_year":5176,"ayanamsa_lahiri":24.9037,"grahas":{"sun":{"sidereal_longitude":334.662787,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":13.234487000000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false,"latitude":-4.3315},"mars":{"sidereal_longitude":331.294087,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":326.0771870000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":130.83678700000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":299.93248700000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":232.75128700000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":89.4957,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":269.4957,"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":2075,"month":3,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479016.770833,"kali_year":5176,"ahargana":1890551.2708,"sun":{"sidereal_longitude":334.6665,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":15.2073,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":40.5408,"elapsed_within_tithi_degrees":4.5408},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1,"moon_longitude":15.2073,"elapsed_within_degrees":1.874},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":349.8738},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.332,"elongation":40.541},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.332,"opposition_distance":139.459}},"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":"05:54","sunsetLocal":"18:00","solarNoonLocal":"11:57","dayLengthHours":12.11104735267182,"dayLengthDisplay":"12 Hours 06 Mins 40 Secs","nightLengthDisplay":"11 Hours 53 Mins 20 Secs","moonriseLocal":"08:03","moonsetLocal":"20:59","rahuKala":{"name":"Rāhu Kāla","start":"11:57","end":"13:28","startHours":11.948576421044578,"endHours":13.462457340128555,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:24","end":"08:55","startHours":7.406933663792644,"endHours":8.920814582876622,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:26","end":"11:57","startHours":10.4346955019606,"endHours":11.948576421044578,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:43","end":"09:07","startHours":8.718963793665425,"endHours":9.12266537208782,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:24","end":"06:43","startHours":6.3976797177366596,"endHours":6.720640980474575,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:33","end":"12:21","startHours":11.544874842622184,"endHours":12.352277999466972,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:17","end":"05:05","startHours":4.278246431019091,"endHours":5.085649587863879,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:53","end":"05:54","startHours":4.883798798652682,"endHours":5.893052744708667,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:46","startHours":13.967084313156548,"endHours":14.774487470001336,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:48","end":"18:12","startHours":17.804100097380488,"endHours":18.204100097380486,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:00","end":"18:31","startHours":18.004100097380487,"endHours":18.50872707040848,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:45","end":"19:30","startHours":17.754100097380487,"endHours":19.504100097380487,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:33","end":"00:21","startHours":23.544874842622185,"endHours":24.35227799946697,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:54","end":"07:24","startHours":5.893052744708667,"endHours":7.406933663792644,"quality":"auspicious"},{"name":"Amṛta","start":"07:24","end":"08:55","startHours":7.406933663792644,"endHours":8.920814582876622,"quality":"auspicious"},{"name":"Kāla","start":"08:55","end":"10:26","startHours":8.920814582876622,"endHours":10.4346955019606,"quality":"inauspicious"},{"name":"Śubha","start":"10:26","end":"11:57","startHours":10.4346955019606,"endHours":11.948576421044578,"quality":"auspicious"},{"name":"Roga","start":"11:57","end":"13:28","startHours":11.948576421044578,"endHours":13.462457340128555,"quality":"inauspicious"},{"name":"Udveg","start":"13:28","end":"14:59","startHours":13.462457340128555,"endHours":14.976338259212532,"quality":"inauspicious"},{"name":"Chala","start":"14:59","end":"16:29","startHours":14.976338259212532,"endHours":16.49021917829651,"quality":"neutral"},{"name":"Labha","start":"16:29","end":"18:00","startHours":16.49021917829651,"endHours":18.004100097380487,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:00","end":"19:29","startHours":18.004100097380487,"endHours":19.49021917829651,"quality":"inauspicious"},{"name":"Chala","start":"19:29","end":"20:59","startHours":19.49021917829651,"endHours":20.976338259212532,"quality":"neutral"},{"name":"Labha","start":"20:59","end":"22:28","startHours":20.976338259212532,"endHours":22.462457340128555,"quality":"auspicious"},{"name":"Amṛta","start":"22:28","end":"23:57","startHours":22.462457340128555,"endHours":23.948576421044578,"quality":"auspicious"},{"name":"Kāla","start":"23:57","end":"01:26","startHours":23.948576421044578,"endHours":25.4346955019606,"quality":"inauspicious"},{"name":"Śubha","start":"01:26","end":"02:55","startHours":25.4346955019606,"endHours":26.920814582876623,"quality":"auspicious"},{"name":"Roga","start":"02:55","end":"04:24","startHours":26.920814582876623,"endHours":28.406933663792643,"quality":"inauspicious"},{"name":"Udveg","start":"04:24","end":"05:54","startHours":28.406933663792643,"endHours":29.89305274470867,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:54","end":"06:54","startHours":5.893052744708667,"endHours":6.893052744708667,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:54","end":"07:54","startHours":6.893052744708667,"endHours":7.893052744708667,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:54","end":"08:54","startHours":7.893052744708667,"endHours":8.893052744708667,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:54","end":"09:54","startHours":8.893052744708667,"endHours":9.893052744708667,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:54","end":"10:54","startHours":9.893052744708667,"endHours":10.893052744708667,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:54","end":"11:54","startHours":10.893052744708667,"endHours":11.893052744708667,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:54","end":"12:54","startHours":11.893052744708667,"endHours":12.893052744708667,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:54","end":"13:54","startHours":12.893052744708667,"endHours":13.893052744708667,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:54","end":"14:54","startHours":13.893052744708667,"endHours":14.893052744708667,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:54","end":"15:54","startHours":14.893052744708667,"endHours":15.893052744708667,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:54","end":"16:54","startHours":15.893052744708667,"endHours":16.89305274470867,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:54","end":"17:54","startHours":16.89305274470867,"endHours":17.89305274470867,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:54","end":"18:54","startHours":17.89305274470867,"endHours":18.89305274470867,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:54","end":"19:54","startHours":18.89305274470867,"endHours":19.89305274470867,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:54","end":"20:54","startHours":19.89305274470867,"endHours":20.89305274470867,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:54","end":"21:54","startHours":20.89305274470867,"endHours":21.89305274470867,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:54","end":"22:54","startHours":21.89305274470867,"endHours":22.89305274470867,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:54","end":"23:54","startHours":22.89305274470867,"endHours":23.89305274470867,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:54","end":"00:54","startHours":23.89305274470867,"endHours":24.89305274470867,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:54","end":"01:54","startHours":24.89305274470867,"endHours":25.89305274470867,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:54","end":"02:54","startHours":25.89305274470867,"endHours":26.89305274470867,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:54","end":"03:54","startHours":26.89305274470867,"endHours":27.89305274470867,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:54","end":"04:54","startHours":27.89305274470867,"endHours":28.89305274470867,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:54","end":"05:54","startHours":28.89305274470867,"endHours":29.89305274470867,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-0.1724208075488246,"eotMinutes":-8.152985262674756,"ayanamsa":24.9037}},"calendars":{"vikram_samvat":2132,"vikram_samvatsara":"Kīlaka","saka_samvat":1997,"saka_samvatsara":"Manmatha","bengali_samvat":1482,"malayalam_era":1251,"nanakshahi_year":606,"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":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Caturthī · Vikram 2132 Kīlaka · Śaka 1997 Manmatha"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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":"ranchi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga March 20, 2075 CE · Ranchi, Jharkhand · Vidhyamitra","description":"March 20, 2075 CE for Ranchi, Jharkhand: Śukla Caturthī, sūryodaya 05:54, sūryāsta 18:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2075-03-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2075-03-20","sa":"https://sa.vidhyamitra.com/city/ranchi/2075-03-20","hi":"https://hi.vidhyamitra.com/city/ranchi/2075-03-20","x-default":"https://vidhyamitra.com/city/ranchi/2075-03-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T22:14:53.098Z","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":"2026-06-01T22:14:53.098Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T22:14:53.098Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}