{"id":"vidhyamitra:city-day:ranchi:2181-07-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2181-07-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2181-07-03","date_display":"July 3, 2181 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":2181,"month":7,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517837.770833,"kali_year":5283,"ahargana":1929372.2708,"sun":{"sidereal_longitude":74.5338,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":332.8583,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":258.3245,"elapsed_within_tithi_degrees":6.3245},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":332.8583,"elapsed_within_degrees":12.8583},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":47.3921},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2181,"month":7,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2517837.770833,"ahargana":1929372.2708,"kali_year":5283,"ayanamsa_lahiri":26.3885,"grahas":{"sun":{"sidereal_longitude":75.30033900000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":336.374939,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false,"latitude":2.8735},"mars":{"sidereal_longitude":119.21483899999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":76.95333900000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":113.32083899999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":108.98453900000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":84.39043900000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":192.5723,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":12.5723,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":2181,"month":7,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517837.770833,"kali_year":5283,"ahargana":1929372.2708,"sun":{"sidereal_longitude":74.5338,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":332.8583,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":258.3245,"elapsed_within_tithi_degrees":6.3245},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":332.8583,"elapsed_within_degrees":12.8583},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":47.3921},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.874,"elongation":101.675},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.874,"opposition_distance":78.325}},"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":"05:07","sunsetLocal":"18:39","solarNoonLocal":"11:53","dayLengthHours":13.535904660974337,"dayLengthDisplay":"13 Hours 32 Mins 09 Secs","nightLengthDisplay":"10 Hours 27 Mins 51 Secs","moonriseLocal":"23:12","moonsetLocal":"11:21","rahuKala":{"name":"Rāhu Kāla","start":"15:16","end":"16:57","startHours":15.260693676709149,"endHours":16.952681759330943,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:30","end":"10:11","startHours":8.492741346221981,"endHours":10.184729428843774,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:53","end":"13:34","startHours":11.876717511465564,"endHours":13.568705594087357,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:16","end":"08:43","startHours":8.267142935205742,"endHours":8.718339757238219,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:40","end":"06:02","startHours":5.6727612085189945,"endHours":6.033718666144977,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:26","end":"12:20","startHours":11.425520689433087,"endHours":12.327914333498041,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:18","end":"04:12","startHours":3.303977892848485,"endHours":4.206371536913441,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:59","end":"05:07","startHours":3.980773125897202,"endHours":5.108765180978397,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"15:02","startHours":14.132701621627955,"endHours":15.035095265692911,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:27","end":"18:51","startHours":18.444669841952734,"endHours":18.844669841952733,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:39","end":"19:13","startHours":18.644669841952734,"endHours":19.20866586949333,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:24","end":"20:09","startHours":18.394669841952734,"endHours":20.144669841952734,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:26","end":"00:20","startHours":23.425520689433085,"endHours":24.327914333498043,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:07","end":"06:48","startHours":5.108765180978397,"endHours":6.800753263600189,"quality":"inauspicious"},{"name":"Udveg","start":"06:48","end":"08:30","startHours":6.800753263600189,"endHours":8.492741346221981,"quality":"inauspicious"},{"name":"Chala","start":"08:30","end":"10:11","startHours":8.492741346221981,"endHours":10.184729428843774,"quality":"neutral"},{"name":"Labha","start":"10:11","end":"11:53","startHours":10.184729428843774,"endHours":11.876717511465564,"quality":"auspicious"},{"name":"Amṛta","start":"11:53","end":"13:34","startHours":11.876717511465564,"endHours":13.568705594087357,"quality":"auspicious"},{"name":"Kāla","start":"13:34","end":"15:16","startHours":13.568705594087357,"endHours":15.260693676709149,"quality":"inauspicious"},{"name":"Śubha","start":"15:16","end":"16:57","startHours":15.260693676709149,"endHours":16.952681759330943,"quality":"auspicious"},{"name":"Roga","start":"16:57","end":"18:39","startHours":16.952681759330943,"endHours":18.644669841952734,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:39","end":"19:57","startHours":18.644669841952734,"endHours":19.952681759330943,"quality":"inauspicious"},{"name":"Śubha","start":"19:57","end":"21:16","startHours":19.952681759330943,"endHours":21.26069367670915,"quality":"auspicious"},{"name":"Roga","start":"21:16","end":"22:34","startHours":21.26069367670915,"endHours":22.56870559408736,"quality":"inauspicious"},{"name":"Udveg","start":"22:34","end":"23:53","startHours":22.56870559408736,"endHours":23.876717511465564,"quality":"inauspicious"},{"name":"Chala","start":"23:53","end":"01:11","startHours":23.876717511465564,"endHours":25.184729428843774,"quality":"neutral"},{"name":"Labha","start":"01:11","end":"02:30","startHours":25.184729428843774,"endHours":26.492741346221983,"quality":"auspicious"},{"name":"Amṛta","start":"02:30","end":"03:48","startHours":26.492741346221983,"endHours":27.80075326360019,"quality":"auspicious"},{"name":"Kāla","start":"03:48","end":"05:07","startHours":27.80075326360019,"endHours":29.108765180978395,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:07","end":"06:07","startHours":5.108765180978397,"endHours":6.108765180978397,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:07","end":"07:07","startHours":6.108765180978397,"endHours":7.108765180978397,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:07","end":"08:07","startHours":7.108765180978397,"endHours":8.108765180978397,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:07","end":"09:07","startHours":8.108765180978397,"endHours":9.108765180978397,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:07","end":"10:07","startHours":9.108765180978397,"endHours":10.108765180978397,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:07","end":"11:07","startHours":10.108765180978397,"endHours":11.108765180978397,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:07","end":"12:07","startHours":11.108765180978397,"endHours":12.108765180978397,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:07","end":"13:07","startHours":12.108765180978397,"endHours":13.108765180978397,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:07","end":"14:07","startHours":13.108765180978397,"endHours":14.108765180978397,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:07","end":"15:07","startHours":14.108765180978397,"endHours":15.108765180978397,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:07","end":"16:07","startHours":15.108765180978397,"endHours":16.108765180978395,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:07","end":"17:07","startHours":16.108765180978395,"endHours":17.108765180978395,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:07","end":"18:07","startHours":17.108765180978395,"endHours":18.108765180978395,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:07","end":"19:07","startHours":18.108765180978395,"endHours":19.108765180978395,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:07","end":"20:07","startHours":19.108765180978395,"endHours":20.108765180978395,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:07","end":"21:07","startHours":20.108765180978395,"endHours":21.108765180978395,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:07","end":"22:07","startHours":21.108765180978395,"endHours":22.108765180978395,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:07","end":"23:07","startHours":22.108765180978395,"endHours":23.108765180978395,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:07","end":"00:07","startHours":23.108765180978395,"endHours":24.108765180978395,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:07","end":"01:07","startHours":24.108765180978395,"endHours":25.108765180978395,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:07","end":"02:07","startHours":25.108765180978395,"endHours":26.108765180978395,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:07","end":"03:07","startHours":26.108765180978395,"endHours":27.108765180978395,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:07","end":"04:07","startHours":27.108765180978395,"endHours":28.108765180978395,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:07","end":"05:07","startHours":28.108765180978395,"endHours":29.108765180978395,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":22.922421221089618,"eotMinutes":-3.8414506879338766,"ayanamsa":26.3885}},"calendars":{"vikram_samvat":2238,"vikram_samvatsara":"Jaya","saka_samvat":2103,"saka_samvatsara":"Vṛṣa","bengali_samvat":1588,"malayalam_era":1357,"nanakshahi_year":712,"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":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Saptamī · Vikram 2238 Jaya · Śaka 2103 Vṛṣa"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 3, 2181 CE · Ranchi, Jharkhand · Vidhyamitra","description":"July 3, 2181 CE for Ranchi, Jharkhand: Kṛṣṇa Saptamī, sūryodaya 05:07, sūryāsta 18:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2181-07-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2181-07-03","sa":"https://sa.vidhyamitra.com/city/ranchi/2181-07-03","hi":"https://hi.vidhyamitra.com/city/ranchi/2181-07-03","x-default":"https://vidhyamitra.com/city/ranchi/2181-07-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-04T05:18:12.618Z","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":"2026-06-04T05:18:12.618Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-04T05:18:12.618Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}