{"id":"vidhyamitra:city-day:ayodhya:1742-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/1742-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1742-05-13","date_display":"May 13, 1742 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":1742,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2357444.770833,"kali_year":4844,"ahargana":1768979.2708,"sun":{"sidereal_longitude":32.3314,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":137.1659,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":104.8346,"elapsed_within_tithi_degrees":8.8346},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2,"moon_longitude":137.1659,"elapsed_within_degrees":3.8326},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":169.4973},"karana":{"half_tithi_index":17,"name":"Kaulava"},"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":1742,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2357444.770833,"ahargana":1768979.2708,"kali_year":4844,"ayanamsa_lahiri":20.254,"grahas":{"sun":{"sidereal_longitude":31.755630999999994,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":139.54313100000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false,"latitude":4.4901},"mars":{"sidereal_longitude":8.32233100000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":16.303831000000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":108.70073100000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":353.861531,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":118.44103099999995,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":50.9653,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":230.9653,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":1742,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2357444.770833,"kali_year":4844,"ahargana":1768979.2708,"sun":{"sidereal_longitude":32.3314,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":137.1659,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":104.8346,"elapsed_within_tithi_degrees":8.8346},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2,"moon_longitude":137.1659,"elapsed_within_degrees":3.8326},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":169.4973},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.49,"elongation":104.835},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.49,"opposition_distance":75.165}},"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":"05:15","sunsetLocal":"18:40","solarNoonLocal":"11:57","dayLengthHours":13.412837212898634,"dayLengthDisplay":"13 Hours 24 Mins 46 Secs","nightLengthDisplay":"10 Hours 35 Mins 14 Secs","moonriseLocal":"12:50","moonsetLocal":"01:27","rahuKala":{"name":"Rāhu Kāla","start":"16:59","end":"18:40","startHours":16.986989975777714,"endHours":18.663594627390044,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:57","end":"13:38","startHours":11.957176020940727,"endHours":13.633780672553057,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:19","end":"16:59","startHours":15.310385324165384,"endHours":16.986989975777714,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:23","end":"08:50","startHours":8.380419430834424,"endHours":8.827514004597713,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:49","end":"06:10","startHours":5.8096256316955195,"endHours":6.16730129070615,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:24","startHours":11.51008144717744,"endHours":12.404270594704014,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:28","end":"04:21","startHours":3.462379119438259,"endHours":4.3565682669648345,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:08","end":"05:15","startHours":4.133020980083191,"endHours":5.25075741449141,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:12","end":"15:05","startHours":14.192648889757166,"endHours":15.08683803728374,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:28","end":"18:52","startHours":18.463594627390044,"endHours":18.863594627390043,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:40","end":"19:13","startHours":18.663594627390044,"endHours":19.222462844594155,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:25","end":"20:10","startHours":18.413594627390044,"endHours":20.163594627390044,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:24","startHours":23.51008144717744,"endHours":24.404270594704016,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:15","end":"06:56","startHours":5.25075741449141,"endHours":6.92736206610374,"quality":"inauspicious"},{"name":"Chala","start":"06:56","end":"08:36","startHours":6.92736206610374,"endHours":8.60396671771607,"quality":"neutral"},{"name":"Labha","start":"08:36","end":"10:17","startHours":8.60396671771607,"endHours":10.280571369328397,"quality":"auspicious"},{"name":"Amṛta","start":"10:17","end":"11:57","startHours":10.280571369328397,"endHours":11.957176020940727,"quality":"auspicious"},{"name":"Kāla","start":"11:57","end":"13:38","startHours":11.957176020940727,"endHours":13.633780672553057,"quality":"inauspicious"},{"name":"Śubha","start":"13:38","end":"15:19","startHours":13.633780672553057,"endHours":15.310385324165384,"quality":"auspicious"},{"name":"Roga","start":"15:19","end":"16:59","startHours":15.310385324165384,"endHours":16.986989975777714,"quality":"inauspicious"},{"name":"Udveg","start":"16:59","end":"18:40","startHours":16.986989975777714,"endHours":18.663594627390044,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:40","end":"19:59","startHours":18.663594627390044,"endHours":19.986989975777714,"quality":"auspicious"},{"name":"Roga","start":"19:59","end":"21:19","startHours":19.986989975777714,"endHours":21.310385324165384,"quality":"inauspicious"},{"name":"Udveg","start":"21:19","end":"22:38","startHours":21.310385324165384,"endHours":22.633780672553055,"quality":"inauspicious"},{"name":"Chala","start":"22:38","end":"23:57","startHours":22.633780672553055,"endHours":23.95717602094073,"quality":"neutral"},{"name":"Labha","start":"23:57","end":"01:17","startHours":23.95717602094073,"endHours":25.2805713693284,"quality":"auspicious"},{"name":"Amṛta","start":"01:17","end":"02:36","startHours":25.2805713693284,"endHours":26.60396671771607,"quality":"auspicious"},{"name":"Kāla","start":"02:36","end":"03:56","startHours":26.60396671771607,"endHours":27.92736206610374,"quality":"inauspicious"},{"name":"Śubha","start":"03:56","end":"05:15","startHours":27.92736206610374,"endHours":29.25075741449141,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:15","end":"06:15","startHours":5.25075741449141,"endHours":6.25075741449141,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:15","end":"07:15","startHours":6.25075741449141,"endHours":7.25075741449141,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:15","end":"08:15","startHours":7.25075741449141,"endHours":8.25075741449141,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:15","end":"09:15","startHours":8.25075741449141,"endHours":9.25075741449141,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:15","end":"10:15","startHours":9.25075741449141,"endHours":10.25075741449141,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:15","end":"11:15","startHours":10.25075741449141,"endHours":11.25075741449141,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:15","end":"12:15","startHours":11.25075741449141,"endHours":12.25075741449141,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:15","end":"13:15","startHours":12.25075741449141,"endHours":13.25075741449141,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:15","end":"14:15","startHours":13.25075741449141,"endHours":14.25075741449141,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:15","end":"15:15","startHours":14.25075741449141,"endHours":15.25075741449141,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:15","end":"16:15","startHours":15.25075741449141,"endHours":16.25075741449141,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:15","end":"17:15","startHours":16.25075741449141,"endHours":17.25075741449141,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:15","end":"18:15","startHours":17.25075741449141,"endHours":18.25075741449141,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:15","end":"19:15","startHours":18.25075741449141,"endHours":19.25075741449141,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:15","end":"20:15","startHours":19.25075741449141,"endHours":20.25075741449141,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:15","end":"21:15","startHours":20.25075741449141,"endHours":21.25075741449141,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:15","end":"22:15","startHours":21.25075741449141,"endHours":22.25075741449141,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:15","end":"23:15","startHours":22.25075741449141,"endHours":23.25075741449141,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:15","end":"00:15","startHours":23.25075741449141,"endHours":24.25075741449141,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:15","end":"01:15","startHours":24.25075741449141,"endHours":25.25075741449141,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:15","end":"02:15","startHours":25.25075741449141,"endHours":26.25075741449141,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:15","end":"03:15","startHours":26.25075741449141,"endHours":27.25075741449141,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:15","end":"04:15","startHours":27.25075741449141,"endHours":28.25075741449141,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:15","end":"05:15","startHours":28.25075741449141,"endHours":29.25075741449141,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","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":"Chatra","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.267786699716698,"eotMinutes":3.7534387435564067,"ayanamsa":20.254}},"calendars":{"vikram_samvat":1799,"vikram_samvatsara":"Yuva","saka_samvat":1664,"saka_samvatsara":"Dundubhi","bengali_samvat":1149,"malayalam_era":918,"nanakshahi_year":273,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Navamī · Vikram 1799 Yuva · Śaka 1664 Dundubhi"},"festivals":[{"id":"sita-navami","name":"Sītā Navamī","name_sanskrit":"सीता नवमी","tradition":"Vaishnava","associated_deity":"Sītā Devī (Lakṣmī as Bhū-suta)","significance":"Devī Sītā's manifestation in Mithilā; rāmāvatāra-kalatra.","vrata":true,"detection":{"tithi_number":9,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":2,"sources":["Vālmīki Rāmāyaṇa, Bāla-Kāṇḍa 66"]},{"id":"madhva-jayanti","name":"Madhvācārya Jayantī","name_sanskrit":"मध्वाचार्य जयन्ती","tradition":"Vaishnava","associated_deity":"Madhvācārya (Dvaita)","significance":"Birth of Madhvācārya; Dvaita-pratiṣṭhāpaka. Vaiśākha Śukla 9.","vrata":false,"detection":{"tithi_number":9,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":4}],"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":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","relevance":0.5}]},"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 May 13, 1742 CE · Ayodhyā · Vidhyamitra","description":"May 13, 1742 CE for Ayodhyā: Śukla Navamī, sūryodaya 05:15, sūryāsta 18:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/1742-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/1742-05-13","sa":"https://sa.vidhyamitra.com/city/ayodhya/1742-05-13","hi":"https://hi.vidhyamitra.com/city/ayodhya/1742-05-13","x-default":"https://vidhyamitra.com/city/ayodhya/1742-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T21:20:02.048Z","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":"2026-06-01T21:20:02.048Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T21:20:02.048Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}