{"id":"vidhyamitra:city-day:ranchi:2012-04-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2012-04-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2012-04-13","date_display":"April 13, 2012 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":2012,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456030.770833,"kali_year":5113,"ahargana":1867565.2708,"sun":{"sidereal_longitude":359.6015,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":261.2672,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":261.6657,"elapsed_within_tithi_degrees":9.6657},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":261.2672,"elapsed_within_degrees":7.9338},"yoga":{"number":20,"name":"Śiva","sum_longitude":260.8686},"karana":{"half_tithi_index":43,"name":"Bava"},"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":2012,"month":4,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456030.770833,"ahargana":1867565.2708,"kali_year":5113,"ayanamsa_lahiri":24.0246,"grahas":{"sun":{"sidereal_longitude":359.494121,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":264.34202099999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false,"latitude":2.5056},"mars":{"sidereal_longitude":129.46032100000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":332.76222099999995,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":21.786921000000007,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":44.109920999999986,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":182.12272099999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":227.4046,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":47.4046,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"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":2012,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456030.770833,"kali_year":5113,"ahargana":1867565.2708,"sun":{"sidereal_longitude":359.6015,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":261.2672,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":261.6657,"elapsed_within_tithi_degrees":9.6657},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":261.2672,"elapsed_within_degrees":7.9338},"yoga":{"number":20,"name":"Śiva","sum_longitude":260.8686},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.506,"elongation":98.334},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.506,"opposition_distance":81.666}},"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":"05:30","sunsetLocal":"18:09","solarNoonLocal":"11:50","dayLengthHours":12.653319392147017,"dayLengthDisplay":"12 Hours 39 Mins 12 Secs","nightLengthDisplay":"11 Hours 20 Mins 48 Secs","moonriseLocal":"00:07","moonsetLocal":"10:51","rahuKala":{"name":"Rāhu Kāla","start":"10:15","end":"11:50","startHours":10.243858589810028,"endHours":11.825523513828404,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:59","end":"16:34","startHours":14.988853361865159,"endHours":16.570518285883537,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:05","end":"08:40","startHours":7.080528741773274,"endHours":8.662193665791651,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:52","startHours":8.451305009255867,"endHours":8.873082322327434,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:02","end":"06:22","startHours":6.026085459094356,"endHours":6.3635073095516095,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:24","end":"12:15","startHours":11.403746200756837,"endHours":12.247300826899972,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:49","end":"04:39","startHours":3.811754565468628,"endHours":4.655309191611762,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:27","end":"05:30","startHours":4.444420535075979,"endHours":5.498863817754897,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:47","startHours":13.934410079186241,"endHours":14.777964705329376,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:57","end":"18:21","startHours":17.952183209901914,"endHours":18.352183209901913,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:09","end":"18:41","startHours":18.152183209901914,"endHours":18.679404851241372,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:54","end":"19:39","startHours":17.902183209901914,"endHours":19.652183209901914,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:24","end":"00:15","startHours":23.40374620075684,"endHours":24.24730082689997,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:30","end":"07:05","startHours":5.498863817754897,"endHours":7.080528741773274,"quality":"neutral"},{"name":"Labha","start":"07:05","end":"08:40","startHours":7.080528741773274,"endHours":8.662193665791651,"quality":"auspicious"},{"name":"Amṛta","start":"08:40","end":"10:15","startHours":8.662193665791651,"endHours":10.243858589810028,"quality":"auspicious"},{"name":"Kāla","start":"10:15","end":"11:50","startHours":10.243858589810028,"endHours":11.825523513828404,"quality":"inauspicious"},{"name":"Śubha","start":"11:50","end":"13:24","startHours":11.825523513828404,"endHours":13.407188437846782,"quality":"auspicious"},{"name":"Roga","start":"13:24","end":"14:59","startHours":13.407188437846782,"endHours":14.988853361865159,"quality":"inauspicious"},{"name":"Udveg","start":"14:59","end":"16:34","startHours":14.988853361865159,"endHours":16.570518285883537,"quality":"inauspicious"},{"name":"Chala","start":"16:34","end":"18:09","startHours":16.570518285883537,"endHours":18.152183209901914,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:09","end":"19:34","startHours":18.152183209901914,"endHours":19.570518285883537,"quality":"inauspicious"},{"name":"Udveg","start":"19:34","end":"20:59","startHours":19.570518285883537,"endHours":20.98885336186516,"quality":"inauspicious"},{"name":"Chala","start":"20:59","end":"22:24","startHours":20.98885336186516,"endHours":22.407188437846784,"quality":"neutral"},{"name":"Labha","start":"22:24","end":"23:50","startHours":22.407188437846784,"endHours":23.825523513828404,"quality":"auspicious"},{"name":"Amṛta","start":"23:50","end":"01:15","startHours":23.825523513828404,"endHours":25.243858589810028,"quality":"auspicious"},{"name":"Kāla","start":"01:15","end":"02:40","startHours":25.243858589810028,"endHours":26.66219366579165,"quality":"inauspicious"},{"name":"Śubha","start":"02:40","end":"04:05","startHours":26.66219366579165,"endHours":28.08052874177327,"quality":"auspicious"},{"name":"Roga","start":"04:05","end":"05:30","startHours":28.08052874177327,"endHours":29.498863817754895,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:30","end":"06:30","startHours":5.498863817754897,"endHours":6.498863817754897,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:30","end":"07:30","startHours":6.498863817754897,"endHours":7.498863817754897,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:30","end":"08:30","startHours":7.498863817754897,"endHours":8.498863817754897,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:30","end":"09:30","startHours":8.498863817754897,"endHours":9.498863817754897,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:30","end":"10:30","startHours":9.498863817754897,"endHours":10.498863817754897,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:30","end":"11:30","startHours":10.498863817754897,"endHours":11.498863817754897,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:30","end":"12:30","startHours":11.498863817754897,"endHours":12.498863817754897,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:30","end":"13:30","startHours":12.498863817754897,"endHours":13.498863817754897,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:30","end":"14:30","startHours":13.498863817754897,"endHours":14.498863817754897,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:30","end":"15:30","startHours":14.498863817754897,"endHours":15.498863817754897,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:30","end":"16:30","startHours":15.498863817754897,"endHours":16.498863817754895,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:30","end":"17:30","startHours":16.498863817754895,"endHours":17.498863817754895,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:30","end":"18:30","startHours":17.498863817754895,"endHours":18.498863817754895,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:30","end":"19:30","startHours":18.498863817754895,"endHours":19.498863817754895,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:30","end":"20:30","startHours":19.498863817754895,"endHours":20.498863817754895,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:30","end":"21:30","startHours":20.498863817754895,"endHours":21.498863817754895,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:30","end":"22:30","startHours":21.498863817754895,"endHours":22.498863817754895,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:30","end":"23:30","startHours":22.498863817754895,"endHours":23.498863817754895,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:30","end":"00:30","startHours":23.498863817754895,"endHours":24.498863817754895,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:30","end":"01:30","startHours":24.498863817754895,"endHours":25.498863817754895,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:30","end":"02:30","startHours":25.498863817754895,"endHours":26.498863817754895,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:30","end":"03:30","startHours":26.498863817754895,"endHours":27.498863817754895,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:30","end":"04:30","startHours":27.498863817754895,"endHours":28.498863817754895,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:30","end":"05:30","startHours":28.498863817754895,"endHours":29.498863817754895,"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":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Śiśira (Winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":9.132295925257631,"eotMinutes":-0.7698108297043191,"ayanamsa":24.0246}},"calendars":{"vikram_samvat":2069,"vikram_samvatsara":"Viśvāvasu","saka_samvat":1934,"saka_samvatsara":"Nandana","bengali_samvat":1419,"malayalam_era":1188,"nanakshahi_year":543,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Kṛṣṇa Pakṣa","solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Kṛṣṇa Saptamī · Vikram 2069 Viśvāvasu · Śaka 1934 Nandana"},"festivals":[{"id":"mina-sankranti","name":"Mīna Saṅkrānti","name_sanskrit":"मीन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Pisces; Mīna-māsa begins.","vrata":false,"detection":{"sun_rashi":"Mīna"},"precedence":5}],"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":"ranchi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga April 13, 2012 CE · Ranchi, Jharkhand · Vidhyamitra","description":"April 13, 2012 CE for Ranchi, Jharkhand: Kṛṣṇa Saptamī, sūryodaya 05:30, sūryāsta 18:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2012-04-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2012-04-13","sa":"https://sa.vidhyamitra.com/city/ranchi/2012-04-13","hi":"https://hi.vidhyamitra.com/city/ranchi/2012-04-13","x-default":"https://vidhyamitra.com/city/ranchi/2012-04-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T14:02:02.243Z","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":"2026-05-15T14:02:02.243Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T14:02:02.243Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}