{"id":"vidhyamitra:city-day:ayodhya:2041-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2041-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2041-05-13","date_display":"May 13, 2041 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":2041,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466652.770833,"kali_year":5143,"ahargana":1878187.2708,"sun":{"sidereal_longitude":28.1447,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":171.5206,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":143.3759,"elapsed_within_tithi_degrees":11.3759},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":171.5206,"elapsed_within_degrees":11.5206},"yoga":{"number":15,"name":"Vajra","sum_longitude":199.6653},"karana":{"half_tithi_index":23,"name":"Bālava"},"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":2041,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466652.770833,"ahargana":1878187.2708,"kali_year":5143,"ayanamsa_lahiri":24.4308,"grahas":{"sun":{"sidereal_longitude":28.245681999999988,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":172.39268199999992,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":2.4543},"mars":{"sidereal_longitude":354.629282,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":49.28148199999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":178.98938199999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":342.596382,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":173.61738200000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":24.5999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":204.5999,"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":2041,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466652.770833,"kali_year":5143,"ahargana":1878187.2708,"sun":{"sidereal_longitude":28.1447,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":171.5206,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":143.3759,"elapsed_within_tithi_degrees":11.3759},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":171.5206,"elapsed_within_degrees":11.5206},"yoga":{"number":15,"name":"Vajra","sum_longitude":199.6653},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.454,"elongation":143.376},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.454,"opposition_distance":36.624}},"eclipse_window_40days":[{"offset_days":3,"type":"lunar","occurs":true,"moon_latitude":-0.457,"opposition_distance":0.75}]},"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":13.425955713238839,"dayLengthDisplay":"13 Hours 25 Mins 33 Secs","nightLengthDisplay":"10 Hours 34 Mins 27 Secs","moonriseLocal":"15:45","moonsetLocal":"03:23","rahuKala":{"name":"Rāhu Kāla","start":"06:55","end":"08:36","startHours":6.922442628476162,"endHours":8.600687092631016,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:17","end":"11:57","startHours":10.278931556785873,"endHours":11.957176020940727,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:38","end":"15:19","startHours":13.635420485095581,"endHours":15.313664949250438,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:23","end":"08:49","startHours":8.376921164077036,"endHours":8.824453021184997,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:48","end":"06:10","startHours":5.803612985706259,"endHours":6.161638471392628,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:24","startHours":11.509644163832766,"endHours":12.404707878048688,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:27","end":"04:21","startHours":3.4540707358894625,"endHours":4.349134450105385,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:08","end":"05:15","startHours":4.125368521551405,"endHours":5.244198164321308,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:12","end":"15:05","startHours":14.194835306480533,"endHours":15.089899020696455,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:28","end":"18:52","startHours":18.470153877560147,"endHours":18.870153877560146,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:40","end":"19:14","startHours":18.670153877560146,"endHours":19.229568698945098,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:25","end":"20:10","startHours":18.420153877560146,"endHours":20.170153877560146,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:24","startHours":23.509644163832768,"endHours":24.40470787804869,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:15","end":"06:55","startHours":5.244198164321308,"endHours":6.922442628476162,"quality":"auspicious"},{"name":"Kāla","start":"06:55","end":"08:36","startHours":6.922442628476162,"endHours":8.600687092631016,"quality":"inauspicious"},{"name":"Śubha","start":"08:36","end":"10:17","startHours":8.600687092631016,"endHours":10.278931556785873,"quality":"auspicious"},{"name":"Roga","start":"10:17","end":"11:57","startHours":10.278931556785873,"endHours":11.957176020940727,"quality":"inauspicious"},{"name":"Udveg","start":"11:57","end":"13:38","startHours":11.957176020940727,"endHours":13.635420485095581,"quality":"inauspicious"},{"name":"Chala","start":"13:38","end":"15:19","startHours":13.635420485095581,"endHours":15.313664949250438,"quality":"neutral"},{"name":"Labha","start":"15:19","end":"17:00","startHours":15.313664949250438,"endHours":16.991909413405292,"quality":"auspicious"},{"name":"Amṛta","start":"17:00","end":"18:40","startHours":16.991909413405292,"endHours":18.670153877560146,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:40","end":"20:00","startHours":18.670153877560146,"endHours":19.991909413405292,"quality":"neutral"},{"name":"Labha","start":"20:00","end":"21:19","startHours":19.991909413405292,"endHours":21.313664949250438,"quality":"auspicious"},{"name":"Amṛta","start":"21:19","end":"22:38","startHours":21.313664949250438,"endHours":22.635420485095583,"quality":"auspicious"},{"name":"Kāla","start":"22:38","end":"23:57","startHours":22.635420485095583,"endHours":23.95717602094073,"quality":"inauspicious"},{"name":"Śubha","start":"23:57","end":"01:17","startHours":23.95717602094073,"endHours":25.27893155678587,"quality":"auspicious"},{"name":"Roga","start":"01:17","end":"02:36","startHours":25.27893155678587,"endHours":26.600687092631016,"quality":"inauspicious"},{"name":"Udveg","start":"02:36","end":"03:55","startHours":26.600687092631016,"endHours":27.922442628476162,"quality":"inauspicious"},{"name":"Chala","start":"03:55","end":"05:15","startHours":27.922442628476162,"endHours":29.244198164321308,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:15","end":"06:15","startHours":5.244198164321308,"endHours":6.244198164321308,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:15","end":"07:15","startHours":6.244198164321308,"endHours":7.244198164321308,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:15","end":"08:15","startHours":7.244198164321308,"endHours":8.244198164321308,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:15","end":"09:15","startHours":8.244198164321308,"endHours":9.244198164321308,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:15","end":"10:15","startHours":9.244198164321308,"endHours":10.244198164321308,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:15","end":"11:15","startHours":10.244198164321308,"endHours":11.244198164321308,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:15","end":"12:15","startHours":11.244198164321308,"endHours":12.244198164321308,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:15","end":"13:15","startHours":12.244198164321308,"endHours":13.244198164321308,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:15","end":"14:15","startHours":13.244198164321308,"endHours":14.244198164321308,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:15","end":"15:15","startHours":14.244198164321308,"endHours":15.244198164321308,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:15","end":"16:15","startHours":15.244198164321308,"endHours":16.244198164321308,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:15","end":"17:15","startHours":16.244198164321308,"endHours":17.244198164321308,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:15","end":"18:15","startHours":17.244198164321308,"endHours":18.244198164321308,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:15","end":"19:15","startHours":18.244198164321308,"endHours":19.244198164321308,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:15","end":"20:15","startHours":19.244198164321308,"endHours":20.244198164321308,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:15","end":"21:15","startHours":20.244198164321308,"endHours":21.244198164321308,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:15","end":"22:15","startHours":21.244198164321308,"endHours":22.244198164321308,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:15","end":"23:15","startHours":22.244198164321308,"endHours":23.244198164321308,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:15","end":"00:15","startHours":23.244198164321308,"endHours":24.244198164321308,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:15","end":"01:15","startHours":24.244198164321308,"endHours":25.244198164321308,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:15","end":"02:15","startHours":25.244198164321308,"endHours":26.244198164321308,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:15","end":"03:15","startHours":26.244198164321308,"endHours":27.244198164321308,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:15","end":"04:15","startHours":27.244198164321308,"endHours":28.244198164321308,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:15","end":"05:15","startHours":28.244198164321308,"endHours":29.244198164321308,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"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":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.438506219411323,"eotMinutes":3.7534387435564067,"ayanamsa":24.4308}},"calendars":{"vikram_samvat":2098,"vikram_samvatsara":"Bhāva","saka_samvat":1963,"saka_samvatsara":"Durmati","bengali_samvat":1448,"malayalam_era":1217,"nanakshahi_year":572,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Dvādaśī · Vikram 2098 Bhāva · Śaka 1963 Durmati"},"festivals":[{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":2}],"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 May 13, 2041 CE · Ayodhyā · Vidhyamitra","description":"May 13, 2041 CE for Ayodhyā: Śukla Dvādaśī, sūryodaya 05:15, sūryāsta 18:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2041-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2041-05-13","sa":"https://sa.vidhyamitra.com/city/ayodhya/2041-05-13","hi":"https://hi.vidhyamitra.com/city/ayodhya/2041-05-13","x-default":"https://vidhyamitra.com/city/ayodhya/2041-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T20:23:26.578Z","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":"2026-05-15T20:23:26.578Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T20:23:26.578Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}