{"id":"vidhyamitra:city-day:ayodhya:1713-01-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/1713-01-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1713-01-15","date_display":"January 15, 1713 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":1713,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2346734.770833,"kali_year":4814,"ahargana":1758269.2708,"sun":{"sidereal_longitude":275.6174,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":133.1337,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":217.5162,"elapsed_within_tithi_degrees":1.5162},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":133.1337,"elapsed_within_degrees":13.1337},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":48.7511},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1713,"month":1,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2346734.770833,"ahargana":1758269.2708,"kali_year":4814,"ayanamsa_lahiri":19.8444,"grahas":{"sun":{"sidereal_longitude":275.02443199999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":129.66313200000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":-3.6714},"mars":{"sidereal_longitude":164.57573200000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":287.182732,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":297.90213199999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":312.617832,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":130.40023199999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":258.4326,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":78.4326,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":1713,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2346734.770833,"kali_year":4814,"ahargana":1758269.2708,"sun":{"sidereal_longitude":275.6174,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":133.1337,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":217.5162,"elapsed_within_tithi_degrees":1.5162},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":133.1337,"elapsed_within_degrees":13.1337},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":48.7511},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.671,"elongation":142.484},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.671,"opposition_distance":37.516}},"eclipse_window_40days":[{"offset_days":-18,"type":"solar","occurs":true,"moon_latitude":-0.225,"elongation":0.606},{"offset_days":-3,"type":"lunar","occurs":true,"moon_latitude":-1.296,"opposition_distance":2.804}]},"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":"06:52","sunsetLocal":"17:30","solarNoonLocal":"12:11","dayLengthHours":10.633085458676762,"dayLengthDisplay":"10 Hours 37 Mins 59 Secs","nightLengthDisplay":"13 Hours 22 Mins 01 Secs","moonriseLocal":"20:03","moonsetLocal":"08:56","rahuKala":{"name":"Rāhu Kāla","start":"16:10","end":"17:30","startHours":16.162972871106007,"endHours":17.492108553440602,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:11","end":"13:30","startHours":12.175565824102222,"endHours":13.504701506436817,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:50","end":"16:10","startHours":14.833837188771412,"endHours":16.162972871106007,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:20","end":"09:42","startHours":9.340076368455085,"endHours":9.694512550410977,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:18","end":"07:35","startHours":7.302068322208705,"endHours":7.585617267773419,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:32","startHours":11.82112964214633,"endHours":12.530002006058114,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:26","end":"06:09","startHours":5.441278366940272,"endHours":6.150150730852056,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:58","end":"06:52","startHours":5.972932639874109,"endHours":6.85902309476384,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:39","startHours":13.947746733881681,"endHours":14.656619097793465,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:18","end":"17:42","startHours":17.292108553440602,"endHours":17.6921085534406,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:30","end":"17:56","startHours":17.492108553440602,"endHours":17.935153780885468,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:15","end":"19:00","startHours":17.242108553440602,"endHours":18.992108553440602,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:32","startHours":23.821129642146328,"endHours":24.530002006058115,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:52","end":"08:11","startHours":6.85902309476384,"endHours":8.188158777098435,"quality":"inauspicious"},{"name":"Chala","start":"08:11","end":"09:31","startHours":8.188158777098435,"endHours":9.51729445943303,"quality":"neutral"},{"name":"Labha","start":"09:31","end":"10:51","startHours":9.51729445943303,"endHours":10.846430141767627,"quality":"auspicious"},{"name":"Amṛta","start":"10:51","end":"12:11","startHours":10.846430141767627,"endHours":12.175565824102222,"quality":"auspicious"},{"name":"Kāla","start":"12:11","end":"13:30","startHours":12.175565824102222,"endHours":13.504701506436817,"quality":"inauspicious"},{"name":"Śubha","start":"13:30","end":"14:50","startHours":13.504701506436817,"endHours":14.833837188771412,"quality":"auspicious"},{"name":"Roga","start":"14:50","end":"16:10","startHours":14.833837188771412,"endHours":16.162972871106007,"quality":"inauspicious"},{"name":"Udveg","start":"16:10","end":"17:30","startHours":16.162972871106007,"endHours":17.492108553440602,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:30","end":"19:10","startHours":17.492108553440602,"endHours":19.162972871106007,"quality":"auspicious"},{"name":"Roga","start":"19:10","end":"20:50","startHours":19.162972871106007,"endHours":20.83383718877141,"quality":"inauspicious"},{"name":"Udveg","start":"20:50","end":"22:30","startHours":20.83383718877141,"endHours":22.504701506436817,"quality":"inauspicious"},{"name":"Chala","start":"22:30","end":"00:11","startHours":22.504701506436817,"endHours":24.17556582410222,"quality":"neutral"},{"name":"Labha","start":"00:11","end":"01:51","startHours":24.17556582410222,"endHours":25.846430141767627,"quality":"auspicious"},{"name":"Amṛta","start":"01:51","end":"03:31","startHours":25.846430141767627,"endHours":27.51729445943303,"quality":"auspicious"},{"name":"Kāla","start":"03:31","end":"05:11","startHours":27.51729445943303,"endHours":29.188158777098437,"quality":"inauspicious"},{"name":"Śubha","start":"05:11","end":"06:52","startHours":29.188158777098437,"endHours":30.85902309476384,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:52","end":"07:52","startHours":6.85902309476384,"endHours":7.85902309476384,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:52","end":"08:52","startHours":7.85902309476384,"endHours":8.85902309476384,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:52","end":"09:52","startHours":8.85902309476384,"endHours":9.85902309476384,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:52","end":"10:52","startHours":9.85902309476384,"endHours":10.85902309476384,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:52","end":"11:52","startHours":10.85902309476384,"endHours":11.85902309476384,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:52","end":"12:52","startHours":11.85902309476384,"endHours":12.85902309476384,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:52","end":"13:52","startHours":12.85902309476384,"endHours":13.85902309476384,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:52","end":"14:52","startHours":13.85902309476384,"endHours":14.85902309476384,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:52","end":"15:52","startHours":14.85902309476384,"endHours":15.85902309476384,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:52","end":"16:52","startHours":15.85902309476384,"endHours":16.85902309476384,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:52","end":"17:52","startHours":16.85902309476384,"endHours":17.85902309476384,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:52","end":"18:52","startHours":17.85902309476384,"endHours":18.85902309476384,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:52","end":"19:52","startHours":18.85902309476384,"endHours":19.85902309476384,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:52","end":"20:52","startHours":19.85902309476384,"endHours":20.85902309476384,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:52","end":"21:52","startHours":20.85902309476384,"endHours":21.85902309476384,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:52","end":"22:52","startHours":21.85902309476384,"endHours":22.85902309476384,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:52","end":"23:52","startHours":22.85902309476384,"endHours":23.85902309476384,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:52","end":"00:52","startHours":23.85902309476384,"endHours":24.85902309476384,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:52","end":"01:52","startHours":24.85902309476384,"endHours":25.85902309476384,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:52","end":"02:52","startHours":25.85902309476384,"endHours":26.85902309476384,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:52","end":"03:52","startHours":26.85902309476384,"endHours":27.85902309476384,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:52","end":"04:52","startHours":27.85902309476384,"endHours":28.85902309476384,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:52","end":"05:52","startHours":28.85902309476384,"endHours":29.85902309476384,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:52","end":"06:52","startHours":29.85902309476384,"endHours":30.85902309476384,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.152522730698628,"eotMinutes":-9.349949446133257,"ayanamsa":19.8444}},"calendars":{"vikram_samvat":1770,"vikram_samvatsara":"Parābhava","saka_samvat":1635,"saka_samvatsara":"Vijaya","bengali_samvat":1120,"malayalam_era":889,"nanakshahi_year":244,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Caturthī · Vikram 1770 Parābhava · Śaka 1635 Vijaya"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 January 15, 1713 CE · Ayodhyā · Vidhyamitra","description":"January 15, 1713 CE for Ayodhyā: Kṛṣṇa Caturthī, sūryodaya 06:52, sūryāsta 17:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/1713-01-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/1713-01-15","sa":"https://sa.vidhyamitra.com/city/ayodhya/1713-01-15","hi":"https://hi.vidhyamitra.com/city/ayodhya/1713-01-15","x-default":"https://vidhyamitra.com/city/ayodhya/1713-01-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T18:49:46.267Z","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":"2026-06-01T18:49:46.267Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T18:49:46.267Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}