{"id":"vidhyamitra:city-day:ayodhya:2161-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2161-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2161-07-13","date_display":"July 13, 2161 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":2161,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510542.770833,"kali_year":5263,"ahargana":1922077.2708,"sun":{"sidereal_longitude":84.1649,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":329.1968,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":245.0319,"elapsed_within_tithi_degrees":5.0319},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":329.1968,"elapsed_within_degrees":9.1968},"yoga":{"number":5,"name":"Śobhana","sum_longitude":53.3616},"karana":{"half_tithi_index":40,"name":"Gara"},"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":2161,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2510542.770833,"ahargana":1922077.2708,"kali_year":5263,"ayanamsa_lahiri":26.1094,"grahas":{"sun":{"sidereal_longitude":84.95456200000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":327.088662,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false,"latitude":4.2254},"mars":{"sidereal_longitude":317.4230620000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":93.294962,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":218.50946199999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":48.680661999999984,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":198.03006200000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":219.0965,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":39.0965,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2161,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510542.770833,"kali_year":5263,"ahargana":1922077.2708,"sun":{"sidereal_longitude":84.1649,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":329.1968,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":245.0319,"elapsed_within_tithi_degrees":5.0319},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":329.1968,"elapsed_within_degrees":9.1968},"yoga":{"number":5,"name":"Śobhana","sum_longitude":53.3616},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.225,"elongation":114.968},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.225,"opposition_distance":65.032}},"eclipse_window_40days":[]},"city":{"slug":"ayodhya","name":"Ayodhyā","lat":26.799,"lon":82.204,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"ayodhya","name":"Ayodhyā","lat":26.799,"lon":82.204,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:16","sunsetLocal":"18:57","solarNoonLocal":"12:07","dayLengthHours":13.69013672358016,"dayLengthDisplay":"13 Hours 41 Mins 24 Secs","nightLengthDisplay":"10 Hours 18 Mins 36 Secs","moonriseLocal":"22:18","moonsetLocal":"10:12","rahuKala":{"name":"Rāhu Kāla","start":"06:59","end":"08:41","startHours":6.975289209426786,"endHours":8.686556299874306,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:24","end":"12:07","startHours":10.397823390321825,"endHours":12.109090480769346,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:49","end":"15:32","startHours":13.820357571216867,"endHours":15.531624661664386,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:28","end":"08:55","startHours":8.458387354481303,"endHours":8.91472524526731,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:50","end":"06:12","startHours":5.834444482461773,"endHours":6.199514795090577,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:34","startHours":11.652752589983342,"endHours":12.56542837155535,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:26","end":"04:21","startHours":3.4386705558352446,"endHours":4.351346337407255,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:07","end":"05:16","startHours":4.123177392014253,"endHours":5.264022118979266,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:23","end":"15:18","startHours":14.390779934699372,"endHours":15.303455716271383,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:45","end":"19:09","startHours":18.754158842559427,"endHours":19.154158842559426,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:57","end":"19:31","startHours":18.954158842559426,"endHours":19.524581206041933,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:42","end":"20:27","startHours":18.704158842559426,"endHours":20.454158842559426,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:34","startHours":23.65275258998334,"endHours":24.565428371555353,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:16","end":"06:59","startHours":5.264022118979266,"endHours":6.975289209426786,"quality":"auspicious"},{"name":"Kāla","start":"06:59","end":"08:41","startHours":6.975289209426786,"endHours":8.686556299874306,"quality":"inauspicious"},{"name":"Śubha","start":"08:41","end":"10:24","startHours":8.686556299874306,"endHours":10.397823390321825,"quality":"auspicious"},{"name":"Roga","start":"10:24","end":"12:07","startHours":10.397823390321825,"endHours":12.109090480769346,"quality":"inauspicious"},{"name":"Udveg","start":"12:07","end":"13:49","startHours":12.109090480769346,"endHours":13.820357571216867,"quality":"inauspicious"},{"name":"Chala","start":"13:49","end":"15:32","startHours":13.820357571216867,"endHours":15.531624661664386,"quality":"neutral"},{"name":"Labha","start":"15:32","end":"17:15","startHours":15.531624661664386,"endHours":17.242891752111905,"quality":"auspicious"},{"name":"Amṛta","start":"17:15","end":"18:57","startHours":17.242891752111905,"endHours":18.954158842559426,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:57","end":"20:15","startHours":18.954158842559426,"endHours":20.242891752111905,"quality":"neutral"},{"name":"Labha","start":"20:15","end":"21:32","startHours":20.242891752111905,"endHours":21.531624661664388,"quality":"auspicious"},{"name":"Amṛta","start":"21:32","end":"22:49","startHours":21.531624661664388,"endHours":22.820357571216867,"quality":"auspicious"},{"name":"Kāla","start":"22:49","end":"00:07","startHours":22.820357571216867,"endHours":24.109090480769346,"quality":"inauspicious"},{"name":"Śubha","start":"00:07","end":"01:24","startHours":24.109090480769346,"endHours":25.397823390321825,"quality":"auspicious"},{"name":"Roga","start":"01:24","end":"02:41","startHours":25.397823390321825,"endHours":26.686556299874304,"quality":"inauspicious"},{"name":"Udveg","start":"02:41","end":"03:59","startHours":26.686556299874304,"endHours":27.975289209426787,"quality":"inauspicious"},{"name":"Chala","start":"03:59","end":"05:16","startHours":27.975289209426787,"endHours":29.264022118979266,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:16","end":"06:16","startHours":5.264022118979266,"endHours":6.264022118979266,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:16","end":"07:16","startHours":6.264022118979266,"endHours":7.264022118979266,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:16","end":"08:16","startHours":7.264022118979266,"endHours":8.264022118979266,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:16","end":"09:16","startHours":8.264022118979266,"endHours":9.264022118979266,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:16","end":"10:16","startHours":9.264022118979266,"endHours":10.264022118979266,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:16","end":"11:16","startHours":10.264022118979266,"endHours":11.264022118979266,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:16","end":"12:16","startHours":11.264022118979266,"endHours":12.264022118979266,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:16","end":"13:16","startHours":12.264022118979266,"endHours":13.264022118979266,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:16","end":"14:16","startHours":13.264022118979266,"endHours":14.264022118979266,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:16","end":"15:16","startHours":14.264022118979266,"endHours":15.264022118979266,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:16","end":"16:16","startHours":15.264022118979266,"endHours":16.264022118979266,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:16","end":"17:16","startHours":16.264022118979266,"endHours":17.264022118979266,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:16","end":"18:16","startHours":17.264022118979266,"endHours":18.264022118979266,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:16","end":"19:16","startHours":18.264022118979266,"endHours":19.264022118979266,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:16","end":"20:16","startHours":19.264022118979266,"endHours":20.264022118979266,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:16","end":"21:16","startHours":20.264022118979266,"endHours":21.264022118979266,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:16","end":"22:16","startHours":21.264022118979266,"endHours":22.264022118979266,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:16","end":"23:16","startHours":22.264022118979266,"endHours":23.264022118979266,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:16","end":"00:16","startHours":23.264022118979266,"endHours":24.264022118979266,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:16","end":"01:16","startHours":24.264022118979266,"endHours":25.264022118979266,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:16","end":"02:16","startHours":25.264022118979266,"endHours":26.264022118979266,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:16","end":"03:16","startHours":26.264022118979266,"endHours":27.264022118979266,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:16","end":"04:16","startHours":27.264022118979266,"endHours":28.264022118979266,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:16","end":"05:16","startHours":28.264022118979266,"endHours":29.264022118979266,"planetary_lord":"Venus"}],"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":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.78692176281169,"eotMinutes":-5.361428846160681,"ayanamsa":26.1094}},"calendars":{"vikram_samvat":2218,"vikram_samvatsara":"Bhāva","saka_samvat":2083,"saka_samvatsara":"Durmati","bengali_samvat":1568,"malayalam_era":1337,"nanakshahi_year":692,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Ṣaṣṭhī · Vikram 2218 Bhāva · Śaka 2083 Durmati"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"precedence":5}],"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":"ayodhya"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 13, 2161 CE · Ayodhyā · Vidhyamitra","description":"July 13, 2161 CE for Ayodhyā: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:16, sūryāsta 18:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2161-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2161-07-13","sa":"https://sa.vidhyamitra.com/city/ayodhya/2161-07-13","hi":"https://hi.vidhyamitra.com/city/ayodhya/2161-07-13","x-default":"https://vidhyamitra.com/city/ayodhya/2161-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-20T04:14:25.208Z","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":"2026-05-20T04:14:25.208Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-20T04:14:25.208Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}