{"id":"vidhyamitra:city-day:ranchi:2102-03-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2102-03-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2102-03-13","date_display":"March 13, 2102 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":2102,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488870.770833,"kali_year":5203,"ahargana":1900405.2708,"sun":{"sidereal_longitude":326.7026,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":248.4311,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":281.7285,"elapsed_within_tithi_degrees":5.7285},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":248.4311,"elapsed_within_degrees":8.4311},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":215.1336},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2102,"month":3,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488870.770833,"ahargana":1900405.2708,"kali_year":5203,"ayanamsa_lahiri":25.2806,"grahas":{"sun":{"sidereal_longitude":326.76579100000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":247.17379100000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false,"latitude":-2.8273},"mars":{"sidereal_longitude":59.13269100000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":321.628191,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":237.145891,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":279.27289099999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":203.842891,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":287.3834,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":107.3834,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2102,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488870.770833,"kali_year":5203,"ahargana":1900405.2708,"sun":{"sidereal_longitude":326.7026,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":248.4311,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":281.7285,"elapsed_within_tithi_degrees":5.7285},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":248.4311,"elapsed_within_degrees":8.4311},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":215.1336},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.827,"elongation":78.271},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.827,"opposition_distance":101.729}},"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":"06:01","sunsetLocal":"17:57","solarNoonLocal":"11:59","dayLengthHours":11.93942084520335,"dayLengthDisplay":"11 Hours 56 Mins 22 Secs","nightLengthDisplay":"12 Hours 03 Mins 38 Secs","moonriseLocal":"01:21","moonsetLocal":"12:00","rahuKala":{"name":"Rāhu Kāla","start":"07:30","end":"09:00","startHours":7.5057091818622235,"endHours":8.998136787512642,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:29","end":"11:59","startHours":10.49056439316306,"endHours":11.982991998813478,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:29","end":"14:58","startHours":13.475419604463898,"endHours":14.967847210114316,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:48","end":"09:12","startHours":8.799146440092585,"endHours":9.197127134932698,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:31","end":"06:50","startHours":6.5107574447619445,"endHours":6.829142000634034,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:35","end":"12:23","startHours":11.585011303973367,"endHours":12.38097269365359,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:25","end":"05:13","startHours":4.421358796851358,"endHours":5.217320186531581,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:01","end":"06:01","startHours":5.018329839111526,"endHours":6.013281576211805,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:46","startHours":13.972895473014038,"endHours":14.76885686269426,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:45","end":"18:09","startHours":17.752702421415155,"endHours":18.152702421415153,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:57","end":"18:27","startHours":17.952702421415154,"endHours":18.450178289965294,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:42","end":"19:27","startHours":17.702702421415154,"endHours":19.452702421415154,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:35","end":"00:23","startHours":23.585011303973367,"endHours":24.38097269365359,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:01","end":"07:30","startHours":6.013281576211805,"endHours":7.5057091818622235,"quality":"auspicious"},{"name":"Kāla","start":"07:30","end":"09:00","startHours":7.5057091818622235,"endHours":8.998136787512642,"quality":"inauspicious"},{"name":"Śubha","start":"09:00","end":"10:29","startHours":8.998136787512642,"endHours":10.49056439316306,"quality":"auspicious"},{"name":"Roga","start":"10:29","end":"11:59","startHours":10.49056439316306,"endHours":11.982991998813478,"quality":"inauspicious"},{"name":"Udveg","start":"11:59","end":"13:29","startHours":11.982991998813478,"endHours":13.475419604463898,"quality":"inauspicious"},{"name":"Chala","start":"13:29","end":"14:58","startHours":13.475419604463898,"endHours":14.967847210114316,"quality":"neutral"},{"name":"Labha","start":"14:58","end":"16:28","startHours":14.967847210114316,"endHours":16.460274815764734,"quality":"auspicious"},{"name":"Amṛta","start":"16:28","end":"17:57","startHours":16.460274815764734,"endHours":17.952702421415154,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:57","end":"19:28","startHours":17.952702421415154,"endHours":19.460274815764734,"quality":"neutral"},{"name":"Labha","start":"19:28","end":"20:58","startHours":19.460274815764734,"endHours":20.967847210114318,"quality":"auspicious"},{"name":"Amṛta","start":"20:58","end":"22:29","startHours":20.967847210114318,"endHours":22.475419604463898,"quality":"auspicious"},{"name":"Kāla","start":"22:29","end":"23:59","startHours":22.475419604463898,"endHours":23.98299199881348,"quality":"inauspicious"},{"name":"Śubha","start":"23:59","end":"01:29","startHours":23.98299199881348,"endHours":25.490564393163062,"quality":"auspicious"},{"name":"Roga","start":"01:29","end":"03:00","startHours":25.490564393163062,"endHours":26.998136787512642,"quality":"inauspicious"},{"name":"Udveg","start":"03:00","end":"04:30","startHours":26.998136787512642,"endHours":28.505709181862223,"quality":"inauspicious"},{"name":"Chala","start":"04:30","end":"06:01","startHours":28.505709181862223,"endHours":30.013281576211803,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:01","end":"07:01","startHours":6.013281576211805,"endHours":7.013281576211805,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:01","end":"08:01","startHours":7.013281576211805,"endHours":8.013281576211805,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:01","end":"09:01","startHours":8.013281576211805,"endHours":9.013281576211805,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:01","end":"10:01","startHours":9.013281576211805,"endHours":10.013281576211805,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:01","end":"11:01","startHours":10.013281576211805,"endHours":11.013281576211805,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:01","end":"12:01","startHours":11.013281576211805,"endHours":12.013281576211805,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:01","end":"13:01","startHours":12.013281576211805,"endHours":13.013281576211805,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:01","end":"14:01","startHours":13.013281576211805,"endHours":14.013281576211805,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:01","end":"15:01","startHours":14.013281576211805,"endHours":15.013281576211805,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:01","end":"16:01","startHours":15.013281576211805,"endHours":16.013281576211803,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:01","end":"17:01","startHours":16.013281576211803,"endHours":17.013281576211803,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:01","end":"18:01","startHours":17.013281576211803,"endHours":18.013281576211803,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:01","end":"19:01","startHours":18.013281576211803,"endHours":19.013281576211803,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:01","end":"20:01","startHours":19.013281576211803,"endHours":20.013281576211803,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:01","end":"21:01","startHours":20.013281576211803,"endHours":21.013281576211803,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:01","end":"22:01","startHours":21.013281576211803,"endHours":22.013281576211803,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:01","end":"23:01","startHours":22.013281576211803,"endHours":23.013281576211803,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:01","end":"00:01","startHours":23.013281576211803,"endHours":24.013281576211803,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:01","end":"01:01","startHours":24.013281576211803,"endHours":25.013281576211803,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:01","end":"02:01","startHours":25.013281576211803,"endHours":26.013281576211803,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:01","end":"03:01","startHours":26.013281576211803,"endHours":27.013281576211803,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:01","end":"04:01","startHours":27.013281576211803,"endHours":28.013281576211803,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:01","end":"05:01","startHours":28.013281576211803,"endHours":29.013281576211803,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:01","end":"06:01","startHours":29.013281576211803,"endHours":30.013281576211803,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","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":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-3.154852369019691,"eotMinutes":-10.217919928808794,"ayanamsa":25.2806}},"calendars":{"vikram_samvat":2159,"vikram_samvatsara":"Yuva","saka_samvat":2024,"saka_samvatsara":"Dundubhi","bengali_samvat":1509,"malayalam_era":1278,"nanakshahi_year":633,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Phālguna","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kumbha (Māsi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Kṛṣṇa Navamī · Vikram 2159 Yuva · Śaka 2024 Dundubhi"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 13, 2102 CE · Ranchi, Jharkhand · Vidhyamitra","description":"March 13, 2102 CE for Ranchi, Jharkhand: Kṛṣṇa Navamī, sūryodaya 06:01, sūryāsta 17:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2102-03-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2102-03-13","sa":"https://sa.vidhyamitra.com/city/ranchi/2102-03-13","hi":"https://hi.vidhyamitra.com/city/ranchi/2102-03-13","x-default":"https://vidhyamitra.com/city/ranchi/2102-03-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T13:59:25.545Z","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":"2026-06-01T13:59:25.545Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T13:59:25.545Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}