{"id":"vidhyamitra:city-day:ranchi:2137-06-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2137-06-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2137-06-13","date_display":"June 13, 2137 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":2137,"month":6,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501746.770833,"kali_year":5239,"ahargana":1913281.2708,"sun":{"sidereal_longitude":55.9507,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":351.6907,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":295.74,"elapsed_within_tithi_degrees":7.74},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":351.6907,"elapsed_within_degrees":5.024},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":47.6414},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"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":2137,"month":6,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2501746.770833,"ahargana":1913281.2708,"kali_year":5239,"ayanamsa_lahiri":25.773,"grahas":{"sun":{"sidereal_longitude":56.471933999999976,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":354.456734,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false,"latitude":2.009},"mars":{"sidereal_longitude":25.446533999999986,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":71.90123399999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":211.56703400000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":13.047933999999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":266.20453399999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":325.1509,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":145.1509,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"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":2137,"month":6,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501746.770833,"kali_year":5239,"ahargana":1913281.2708,"sun":{"sidereal_longitude":55.9507,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":351.6907,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":295.74,"elapsed_within_tithi_degrees":7.74},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":351.6907,"elapsed_within_degrees":5.024},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":47.6414},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.009,"elongation":64.26},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.009,"opposition_distance":115.74}},"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":"05:02","sunsetLocal":"18:35","solarNoonLocal":"11:49","dayLengthHours":13.556115072457438,"dayLengthDisplay":"13 Hours 33 Mins 22 Secs","nightLengthDisplay":"10 Hours 26 Mins 38 Secs","moonriseLocal":"01:24","moonsetLocal":"13:57","rahuKala":{"name":"Rāhu Kāla","start":"13:30","end":"15:12","startHours":13.503621390747163,"endHours":15.198135774804344,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:02","end":"06:44","startHours":5.031049470461266,"endHours":6.7255638545184455,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:25","end":"10:07","startHours":8.420078238575625,"endHours":10.114592622632806,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:12","end":"08:39","startHours":8.194142987368,"endHours":8.646013489783249,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:36","end":"05:57","startHours":5.595887598480326,"endHours":5.9573840004125245,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:21","end":"12:16","startHours":11.357236504274736,"endHours":12.260977509105233,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:13","end":"04:08","startHours":3.2235674608002745,"endHours":4.12730846563077,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:54","end":"05:02","startHours":3.9013732144231463,"endHours":5.031049470461266,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:58","startHours":14.068459518766224,"endHours":14.972200523596719,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:23","end":"18:47","startHours":18.387164542918704,"endHours":18.787164542918703,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:35","end":"19:09","startHours":18.587164542918703,"endHours":19.15200267093776,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:20","end":"20:05","startHours":18.337164542918703,"endHours":20.087164542918703,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:21","end":"00:16","startHours":23.357236504274738,"endHours":24.26097750910523,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:02","end":"06:44","startHours":5.031049470461266,"endHours":6.7255638545184455,"quality":"auspicious"},{"name":"Roga","start":"06:44","end":"08:25","startHours":6.7255638545184455,"endHours":8.420078238575625,"quality":"inauspicious"},{"name":"Udveg","start":"08:25","end":"10:07","startHours":8.420078238575625,"endHours":10.114592622632806,"quality":"inauspicious"},{"name":"Chala","start":"10:07","end":"11:49","startHours":10.114592622632806,"endHours":11.809107006689985,"quality":"neutral"},{"name":"Labha","start":"11:49","end":"13:30","startHours":11.809107006689985,"endHours":13.503621390747163,"quality":"auspicious"},{"name":"Amṛta","start":"13:30","end":"15:12","startHours":13.503621390747163,"endHours":15.198135774804344,"quality":"auspicious"},{"name":"Kāla","start":"15:12","end":"16:54","startHours":15.198135774804344,"endHours":16.892650158861525,"quality":"inauspicious"},{"name":"Śubha","start":"16:54","end":"18:35","startHours":16.892650158861525,"endHours":18.587164542918703,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:35","end":"19:54","startHours":18.587164542918703,"endHours":19.892650158861525,"quality":"auspicious"},{"name":"Kāla","start":"19:54","end":"21:12","startHours":19.892650158861525,"endHours":21.198135774804342,"quality":"inauspicious"},{"name":"Śubha","start":"21:12","end":"22:30","startHours":21.198135774804342,"endHours":22.503621390747163,"quality":"auspicious"},{"name":"Roga","start":"22:30","end":"23:49","startHours":22.503621390747163,"endHours":23.809107006689985,"quality":"inauspicious"},{"name":"Udveg","start":"23:49","end":"01:07","startHours":23.809107006689985,"endHours":25.114592622632806,"quality":"inauspicious"},{"name":"Chala","start":"01:07","end":"02:25","startHours":25.114592622632806,"endHours":26.420078238575627,"quality":"neutral"},{"name":"Labha","start":"02:25","end":"03:44","startHours":26.420078238575627,"endHours":27.725563854518445,"quality":"auspicious"},{"name":"Amṛta","start":"03:44","end":"05:02","startHours":27.725563854518445,"endHours":29.031049470461266,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:02","end":"06:02","startHours":5.031049470461266,"endHours":6.031049470461266,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:02","end":"07:02","startHours":6.031049470461266,"endHours":7.031049470461266,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:02","end":"08:02","startHours":7.031049470461266,"endHours":8.031049470461266,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:02","end":"09:02","startHours":8.031049470461266,"endHours":9.031049470461266,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:02","end":"10:02","startHours":9.031049470461266,"endHours":10.031049470461266,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:02","end":"11:02","startHours":10.031049470461266,"endHours":11.031049470461266,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:02","end":"12:02","startHours":11.031049470461266,"endHours":12.031049470461266,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:02","end":"13:02","startHours":12.031049470461266,"endHours":13.031049470461266,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:02","end":"14:02","startHours":13.031049470461266,"endHours":14.031049470461266,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:02","end":"15:02","startHours":14.031049470461266,"endHours":15.031049470461266,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:02","end":"16:02","startHours":15.031049470461266,"endHours":16.031049470461266,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:02","end":"17:02","startHours":16.031049470461266,"endHours":17.031049470461266,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:02","end":"18:02","startHours":17.031049470461266,"endHours":18.031049470461266,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:02","end":"19:02","startHours":18.031049470461266,"endHours":19.031049470461266,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:02","end":"20:02","startHours":19.031049470461266,"endHours":20.031049470461266,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:02","end":"21:02","startHours":20.031049470461266,"endHours":21.031049470461266,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:02","end":"22:02","startHours":21.031049470461266,"endHours":22.031049470461266,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:02","end":"23:02","startHours":22.031049470461266,"endHours":23.031049470461266,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:02","end":"00:02","startHours":23.031049470461266,"endHours":24.031049470461266,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:02","end":"01:02","startHours":24.031049470461266,"endHours":25.031049470461266,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:02","end":"02:02","startHours":25.031049470461266,"endHours":26.031049470461266,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:02","end":"03:02","startHours":26.031049470461266,"endHours":27.031049470461266,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:02","end":"04:02","startHours":27.031049470461266,"endHours":28.031049470461266,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:02","end":"05:02","startHours":28.031049470461266,"endHours":29.031049470461266,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":23.20953027554593,"eotMinutes":0.2151795986009022,"ayanamsa":25.773}},"calendars":{"vikram_samvat":2194,"vikram_samvatsara":"Sādhāraṇa","saka_samvat":2059,"saka_samvatsara":"Hemalambī","bengali_samvat":1544,"malayalam_era":1313,"nanakshahi_year":668,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Daśamī · Vikram 2194 Sādhāraṇa · Śaka 2059 Hemalambī"},"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 June 13, 2137 CE · Ranchi, Jharkhand · Vidhyamitra","description":"June 13, 2137 CE for Ranchi, Jharkhand: Kṛṣṇa Daśamī, sūryodaya 05:02, sūryāsta 18:35.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2137-06-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2137-06-13","sa":"https://sa.vidhyamitra.com/city/ranchi/2137-06-13","hi":"https://hi.vidhyamitra.com/city/ranchi/2137-06-13","x-default":"https://vidhyamitra.com/city/ranchi/2137-06-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T14:10:01.066Z","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":"2026-05-31T14:10:01.066Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T14:10:01.066Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}