{"id":"vidhyamitra:city-day:ranchi:2115-09-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2115-09-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2115-09-07","date_display":"September 7, 2115 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":2115,"month":9,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493796.770833,"kali_year":5217,"ahargana":1905331.2708,"sun":{"sidereal_longitude":137.4957,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":350.8194,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":213.3237,"elapsed_within_tithi_degrees":9.3237},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":350.8194,"elapsed_within_degrees":4.1528},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":128.3152},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2115,"month":9,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493796.770833,"ahargana":1905331.2708,"kali_year":5217,"ayanamsa_lahiri":25.469,"grahas":{"sun":{"sidereal_longitude":138.475682,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":350.742282,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false,"latitude":-2.6153},"mars":{"sidereal_longitude":143.67958199999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":140.66668200000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":265.42018200000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":150.47078199999999,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":357.468682,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":26.3802,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":206.3802,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"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":2115,"month":9,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493796.770833,"kali_year":5217,"ahargana":1905331.2708,"sun":{"sidereal_longitude":137.4957,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":350.8194,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":213.3237,"elapsed_within_tithi_degrees":9.3237},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":350.8194,"elapsed_within_degrees":4.1528},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":128.3152},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.615,"elongation":146.676},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.615,"opposition_distance":33.324}},"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":"05:32","sunsetLocal":"18:01","solarNoonLocal":"11:46","dayLengthHours":12.486917586863754,"dayLengthDisplay":"12 Hours 29 Mins 13 Secs","nightLengthDisplay":"11 Hours 30 Mins 47 Secs","moonriseLocal":"19:42","moonsetLocal":"08:09","rahuKala":{"name":"Rāhu Kāla","start":"08:39","end":"10:13","startHours":8.648328953766683,"endHours":10.20919365212465,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:20","end":"14:54","startHours":13.330923048840589,"endHours":14.89178774719856,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:32","end":"07:05","startHours":5.526599557050743,"endHours":7.087464255408713,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:26","end":"08:51","startHours":8.440213660652287,"endHours":8.856444246881077,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:03","end":"06:23","startHours":6.046887789836733,"endHours":6.379872258819766,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:21","end":"12:11","startHours":11.353827764253829,"endHours":12.186288936711414,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:52","end":"04:42","startHours":3.861677212135576,"endHours":4.69413838459316,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:29","end":"05:32","startHours":4.4860230914787635,"endHours":5.526599557050743,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:51","end":"14:41","startHours":13.851211281626579,"endHours":14.683672454084162,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:49","end":"18:13","startHours":17.8135171439145,"endHours":18.213517143914498,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:01","end":"18:32","startHours":18.0135171439145,"endHours":18.53380537670049,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:46","end":"19:31","startHours":17.7635171439145,"endHours":19.5135171439145,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:21","end":"00:11","startHours":23.35382776425383,"endHours":24.186288936711414,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:32","end":"07:05","startHours":5.526599557050743,"endHours":7.087464255408713,"quality":"inauspicious"},{"name":"Śubha","start":"07:05","end":"08:39","startHours":7.087464255408713,"endHours":8.648328953766683,"quality":"auspicious"},{"name":"Roga","start":"08:39","end":"10:13","startHours":8.648328953766683,"endHours":10.20919365212465,"quality":"inauspicious"},{"name":"Udveg","start":"10:13","end":"11:46","startHours":10.20919365212465,"endHours":11.770058350482621,"quality":"inauspicious"},{"name":"Chala","start":"11:46","end":"13:20","startHours":11.770058350482621,"endHours":13.330923048840589,"quality":"neutral"},{"name":"Labha","start":"13:20","end":"14:54","startHours":13.330923048840589,"endHours":14.89178774719856,"quality":"auspicious"},{"name":"Amṛta","start":"14:54","end":"16:27","startHours":14.89178774719856,"endHours":16.452652445556527,"quality":"auspicious"},{"name":"Kāla","start":"16:27","end":"18:01","startHours":16.452652445556527,"endHours":18.0135171439145,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:01","end":"19:27","startHours":18.0135171439145,"endHours":19.45265244555653,"quality":"auspicious"},{"name":"Amṛta","start":"19:27","end":"20:54","startHours":19.45265244555653,"endHours":20.89178774719856,"quality":"auspicious"},{"name":"Kāla","start":"20:54","end":"22:20","startHours":20.89178774719856,"endHours":22.33092304884059,"quality":"inauspicious"},{"name":"Śubha","start":"22:20","end":"23:46","startHours":22.33092304884059,"endHours":23.77005835048262,"quality":"auspicious"},{"name":"Roga","start":"23:46","end":"01:13","startHours":23.77005835048262,"endHours":25.209193652124654,"quality":"inauspicious"},{"name":"Udveg","start":"01:13","end":"02:39","startHours":25.209193652124654,"endHours":26.648328953766683,"quality":"inauspicious"},{"name":"Chala","start":"02:39","end":"04:05","startHours":26.648328953766683,"endHours":28.08746425540871,"quality":"neutral"},{"name":"Labha","start":"04:05","end":"05:32","startHours":28.08746425540871,"endHours":29.526599557050744,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:32","end":"06:32","startHours":5.526599557050743,"endHours":6.526599557050743,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:32","end":"07:32","startHours":6.526599557050743,"endHours":7.526599557050743,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:32","end":"08:32","startHours":7.526599557050743,"endHours":8.526599557050744,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:32","end":"09:32","startHours":8.526599557050744,"endHours":9.526599557050744,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:32","end":"10:32","startHours":9.526599557050744,"endHours":10.526599557050744,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:32","end":"11:32","startHours":10.526599557050744,"endHours":11.526599557050744,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:32","end":"12:32","startHours":11.526599557050744,"endHours":12.526599557050744,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:32","end":"13:32","startHours":12.526599557050744,"endHours":13.526599557050744,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:32","end":"14:32","startHours":13.526599557050744,"endHours":14.526599557050744,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:32","end":"15:32","startHours":14.526599557050744,"endHours":15.526599557050744,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:32","end":"16:32","startHours":15.526599557050744,"endHours":16.526599557050744,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:32","end":"17:32","startHours":16.526599557050744,"endHours":17.526599557050744,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:32","end":"18:32","startHours":17.526599557050744,"endHours":18.526599557050744,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:32","end":"19:32","startHours":18.526599557050744,"endHours":19.526599557050744,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:32","end":"20:32","startHours":19.526599557050744,"endHours":20.526599557050744,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:32","end":"21:32","startHours":20.526599557050744,"endHours":21.526599557050744,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:32","end":"22:32","startHours":21.526599557050744,"endHours":22.526599557050744,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:32","end":"23:32","startHours":22.526599557050744,"endHours":23.526599557050744,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:32","end":"00:32","startHours":23.526599557050744,"endHours":24.526599557050744,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:32","end":"01:32","startHours":24.526599557050744,"endHours":25.526599557050744,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:32","end":"02:32","startHours":25.526599557050744,"endHours":26.526599557050744,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:32","end":"03:32","startHours":26.526599557050744,"endHours":27.526599557050744,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:32","end":"04:32","startHours":27.526599557050744,"endHours":28.526599557050744,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:32","end":"05:32","startHours":28.526599557050744,"endHours":29.526599557050744,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":6.315257944485209,"eotMinutes":2.5580989710426816,"ayanamsa":25.469}},"calendars":{"vikram_samvat":2172,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2037,"saka_samvatsara":"Yuva","bengali_samvat":1522,"malayalam_era":1291,"nanakshahi_year":646,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada (Adhika) Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada (Adhika) Kṛṣṇa Tṛtīyā · Vikram 2172 Sarvadhāri · Śaka 2037 Yuva"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 September 7, 2115 CE · Ranchi, Jharkhand · Vidhyamitra","description":"September 7, 2115 CE for Ranchi, Jharkhand: Kṛṣṇa Tṛtīyā, sūryodaya 05:32, sūryāsta 18:01.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2115-09-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2115-09-07","sa":"https://sa.vidhyamitra.com/city/ranchi/2115-09-07","hi":"https://hi.vidhyamitra.com/city/ranchi/2115-09-07","x-default":"https://vidhyamitra.com/city/ranchi/2115-09-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T19:35:41.861Z","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":"2026-05-31T19:35:41.861Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T19:35:41.861Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}