{"id":"vidhyamitra:city-day:ranchi:2138-07-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2138-07-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2138-07-15","date_display":"July 15, 2138 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":2138,"month":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502143.770833,"kali_year":5240,"ahargana":1913678.2708,"sun":{"sidereal_longitude":86.0125,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":175.5014,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":89.4889,"elapsed_within_tithi_degrees":5.4889},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":175.5014,"elapsed_within_degrees":2.1681},"yoga":{"number":20,"name":"Śiva","sum_longitude":261.5139},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"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":2138,"month":7,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2502143.770833,"ahargana":1913678.2708,"kali_year":5240,"ayanamsa_lahiri":25.7882,"grahas":{"sun":{"sidereal_longitude":86.76056499999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":172.344965,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":-3.5147},"mars":{"sidereal_longitude":157.08336499999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":77.47796499999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":243.44856500000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":true},"venus":{"sidereal_longitude":130.31766500000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":276.3518650000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":304.1159,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":124.1159,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2138,"month":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502143.770833,"kali_year":5240,"ahargana":1913678.2708,"sun":{"sidereal_longitude":86.0125,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":175.5014,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":89.4889,"elapsed_within_tithi_degrees":5.4889},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":175.5014,"elapsed_within_degrees":2.1681},"yoga":{"number":20,"name":"Śiva","sum_longitude":261.5139},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.515,"elongation":89.489},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.515,"opposition_distance":90.511}},"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":"05:11","sunsetLocal":"18:38","solarNoonLocal":"11:54","dayLengthHours":13.440700632402406,"dayLengthDisplay":"13 Hours 26 Mins 27 Secs","nightLengthDisplay":"10 Hours 33 Mins 33 Secs","moonriseLocal":"11:46","moonsetLocal":"23:27","rahuKala":{"name":"Rāhu Kāla","start":"15:16","end":"16:57","startHours":15.265928676540186,"endHours":16.946016255590486,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:33","end":"10:14","startHours":8.545578360338983,"endHours":10.225665939389284,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:54","end":"13:35","startHours":11.905753518439585,"endHours":13.585841097489885,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:19","end":"08:46","startHours":8.321566683132277,"endHours":8.76959003754569,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:45","end":"06:06","startHours":5.745432395255149,"endHours":6.10385107878588,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:27","end":"12:21","startHours":11.457730164026172,"endHours":12.353776872852999,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:24","end":"04:17","startHours":3.3933097845847273,"endHours":4.289356493411555,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:04","end":"05:11","startHours":4.065344816204847,"endHours":5.185403202238382,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"15:03","startHours":14.145870290506652,"endHours":15.041916999333479,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:26","end":"18:50","startHours":18.426103834640788,"endHours":18.826103834640787,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:38","end":"19:11","startHours":18.626103834640787,"endHours":19.186133027657554,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:23","end":"20:08","startHours":18.376103834640787,"endHours":20.126103834640787,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:27","end":"00:21","startHours":23.45773016402617,"endHours":24.353776872853,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:11","end":"06:52","startHours":5.185403202238382,"endHours":6.865490781288682,"quality":"inauspicious"},{"name":"Udveg","start":"06:52","end":"08:33","startHours":6.865490781288682,"endHours":8.545578360338983,"quality":"inauspicious"},{"name":"Chala","start":"08:33","end":"10:14","startHours":8.545578360338983,"endHours":10.225665939389284,"quality":"neutral"},{"name":"Labha","start":"10:14","end":"11:54","startHours":10.225665939389284,"endHours":11.905753518439585,"quality":"auspicious"},{"name":"Amṛta","start":"11:54","end":"13:35","startHours":11.905753518439585,"endHours":13.585841097489885,"quality":"auspicious"},{"name":"Kāla","start":"13:35","end":"15:16","startHours":13.585841097489885,"endHours":15.265928676540186,"quality":"inauspicious"},{"name":"Śubha","start":"15:16","end":"16:57","startHours":15.265928676540186,"endHours":16.946016255590486,"quality":"auspicious"},{"name":"Roga","start":"16:57","end":"18:38","startHours":16.946016255590486,"endHours":18.626103834640787,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:38","end":"19:57","startHours":18.626103834640787,"endHours":19.946016255590486,"quality":"inauspicious"},{"name":"Śubha","start":"19:57","end":"21:16","startHours":19.946016255590486,"endHours":21.265928676540184,"quality":"auspicious"},{"name":"Roga","start":"21:16","end":"22:35","startHours":21.265928676540184,"endHours":22.585841097489883,"quality":"inauspicious"},{"name":"Udveg","start":"22:35","end":"23:54","startHours":22.585841097489883,"endHours":23.905753518439585,"quality":"inauspicious"},{"name":"Chala","start":"23:54","end":"01:14","startHours":23.905753518439585,"endHours":25.225665939389284,"quality":"neutral"},{"name":"Labha","start":"01:14","end":"02:33","startHours":25.225665939389284,"endHours":26.545578360338983,"quality":"auspicious"},{"name":"Amṛta","start":"02:33","end":"03:52","startHours":26.545578360338983,"endHours":27.865490781288685,"quality":"auspicious"},{"name":"Kāla","start":"03:52","end":"05:11","startHours":27.865490781288685,"endHours":29.185403202238383,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:11","end":"06:11","startHours":5.185403202238382,"endHours":6.185403202238382,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:11","end":"07:11","startHours":6.185403202238382,"endHours":7.185403202238382,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:11","end":"08:11","startHours":7.185403202238382,"endHours":8.185403202238382,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:11","end":"09:11","startHours":8.185403202238382,"endHours":9.185403202238382,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:11","end":"10:11","startHours":9.185403202238382,"endHours":10.185403202238382,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:11","end":"11:11","startHours":10.185403202238382,"endHours":11.185403202238382,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:11","end":"12:11","startHours":11.185403202238382,"endHours":12.185403202238382,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:11","end":"13:11","startHours":12.185403202238382,"endHours":13.185403202238382,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:11","end":"14:11","startHours":13.185403202238382,"endHours":14.185403202238382,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:11","end":"15:11","startHours":14.185403202238382,"endHours":15.185403202238382,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:11","end":"16:11","startHours":15.185403202238382,"endHours":16.185403202238383,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:11","end":"17:11","startHours":16.185403202238383,"endHours":17.185403202238383,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:11","end":"18:11","startHours":17.185403202238383,"endHours":18.185403202238383,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:11","end":"19:11","startHours":18.185403202238383,"endHours":19.185403202238383,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:11","end":"20:11","startHours":19.185403202238383,"endHours":20.185403202238383,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:11","end":"21:11","startHours":20.185403202238383,"endHours":21.185403202238383,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:11","end":"22:11","startHours":21.185403202238383,"endHours":22.185403202238383,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:11","end":"23:11","startHours":22.185403202238383,"endHours":23.185403202238383,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:11","end":"00:11","startHours":23.185403202238383,"endHours":24.185403202238383,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:11","end":"01:11","startHours":24.185403202238383,"endHours":25.185403202238383,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:11","end":"02:11","startHours":25.185403202238383,"endHours":26.185403202238383,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:11","end":"03:11","startHours":26.185403202238383,"endHours":27.185403202238383,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:11","end":"04:11","startHours":27.185403202238383,"endHours":28.185403202238383,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:11","end":"05:11","startHours":28.185403202238383,"endHours":29.185403202238383,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.55087314484339,"eotMinutes":-5.583611106375076,"ayanamsa":25.7882}},"calendars":{"vikram_samvat":2195,"vikram_samvatsara":"Virodhakṛt","saka_samvat":2060,"saka_samvatsara":"Vilambī","bengali_samvat":1545,"malayalam_era":1314,"nanakshahi_year":669,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","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 Śukla Aṣṭamī · Vikram 2195 Virodhakṛt · Śaka 2060 Vilambī"},"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":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","relevance":0.5}]},"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 15, 2138 CE · Ranchi, Jharkhand · Vidhyamitra","description":"July 15, 2138 CE for Ranchi, Jharkhand: Śukla Aṣṭamī, sūryodaya 05:11, sūryāsta 18:38.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2138-07-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2138-07-15","sa":"https://sa.vidhyamitra.com/city/ranchi/2138-07-15","hi":"https://hi.vidhyamitra.com/city/ranchi/2138-07-15","x-default":"https://vidhyamitra.com/city/ranchi/2138-07-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T22:58:01.845Z","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":"2026-05-31T22:58:01.845Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T22:58:01.845Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}