{"id":"vidhyamitra:city-day:ayodhya:2040-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2040-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-01-03","date_display":"January 3, 2040 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":2040,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466156.770833,"kali_year":5141,"ahargana":1877691.2708,"sun":{"sidereal_longitude":257.5226,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":119.1591,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":221.6365,"elapsed_within_tithi_degrees":5.6365},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":119.1591,"elapsed_within_degrees":12.4924},"yoga":{"number":2,"name":"Prīti","sum_longitude":16.6818},"karana":{"half_tithi_index":36,"name":"Bava"},"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":2040,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466156.770833,"ahargana":1877691.2708,"kali_year":5141,"ayanamsa_lahiri":24.4118,"grahas":{"sun":{"sidereal_longitude":257.8402329999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":116.31373300000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false,"latitude":4.1799},"mars":{"sidereal_longitude":76.63473299999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":256.073533,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":156.35673299999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":221.26633300000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":166.59143300000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":50.8804,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":230.8804,"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":2040,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466156.770833,"kali_year":5141,"ahargana":1877691.2708,"sun":{"sidereal_longitude":257.5226,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":119.1591,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":221.6365,"elapsed_within_tithi_degrees":5.6365},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":119.1591,"elapsed_within_degrees":12.4924},"yoga":{"number":2,"name":"Prīti","sum_longitude":16.6818},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.18,"elongation":138.364},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.18,"opposition_distance":41.636}},"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":"06:51","sunsetLocal":"17:21","solarNoonLocal":"12:06","dayLengthHours":10.497584587126909,"dayLengthDisplay":"10 Hours 29 Mins 51 Secs","nightLengthDisplay":"13 Hours 30 Mins 09 Secs","moonriseLocal":"20:07","moonsetLocal":"09:13","rahuKala":{"name":"Rāhu Kāla","start":"14:43","end":"16:02","startHours":14.720619827292698,"endHours":16.03281790068356,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:28","end":"10:47","startHours":9.471827533729243,"endHours":10.784025607120107,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:06","end":"13:25","startHours":12.09622368051097,"endHours":13.408421753901834,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:18","end":"09:39","startHours":9.29686779061046,"endHours":9.646787276848023,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:17","end":"07:34","startHours":7.28483074474447,"endHours":7.564766333734521,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:45","end":"12:27","startHours":11.746304194273407,"endHours":12.446143166748534,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:27","end":"06:09","startHours":5.447753441997261,"endHours":6.147592414472388,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:58","end":"06:51","startHours":5.972632671353606,"endHours":6.847431386947515,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:51","end":"14:33","startHours":13.845821111698788,"endHours":14.545660084173916,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:09","end":"17:33","startHours":17.145015974074425,"endHours":17.545015974074424,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:21","end":"17:47","startHours":17.345015974074425,"endHours":17.78241533187138,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:06","end":"18:51","startHours":17.095015974074425,"endHours":18.845015974074425,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:45","end":"00:27","startHours":23.746304194273407,"endHours":24.446143166748534,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:51","end":"08:10","startHours":6.847431386947515,"endHours":8.15962946033838,"quality":"inauspicious"},{"name":"Udveg","start":"08:10","end":"09:28","startHours":8.15962946033838,"endHours":9.471827533729243,"quality":"inauspicious"},{"name":"Chala","start":"09:28","end":"10:47","startHours":9.471827533729243,"endHours":10.784025607120107,"quality":"neutral"},{"name":"Labha","start":"10:47","end":"12:06","startHours":10.784025607120107,"endHours":12.09622368051097,"quality":"auspicious"},{"name":"Amṛta","start":"12:06","end":"13:25","startHours":12.09622368051097,"endHours":13.408421753901834,"quality":"auspicious"},{"name":"Kāla","start":"13:25","end":"14:43","startHours":13.408421753901834,"endHours":14.720619827292698,"quality":"inauspicious"},{"name":"Śubha","start":"14:43","end":"16:02","startHours":14.720619827292698,"endHours":16.03281790068356,"quality":"auspicious"},{"name":"Roga","start":"16:02","end":"17:21","startHours":16.03281790068356,"endHours":17.345015974074425,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:21","end":"19:02","startHours":17.345015974074425,"endHours":19.03281790068356,"quality":"inauspicious"},{"name":"Śubha","start":"19:02","end":"20:43","startHours":19.03281790068356,"endHours":20.720619827292698,"quality":"auspicious"},{"name":"Roga","start":"20:43","end":"22:25","startHours":20.720619827292698,"endHours":22.408421753901834,"quality":"inauspicious"},{"name":"Udveg","start":"22:25","end":"00:06","startHours":22.408421753901834,"endHours":24.09622368051097,"quality":"inauspicious"},{"name":"Chala","start":"00:06","end":"01:47","startHours":24.09622368051097,"endHours":25.784025607120107,"quality":"neutral"},{"name":"Labha","start":"01:47","end":"03:28","startHours":25.784025607120107,"endHours":27.471827533729243,"quality":"auspicious"},{"name":"Amṛta","start":"03:28","end":"05:10","startHours":27.471827533729243,"endHours":29.15962946033838,"quality":"auspicious"},{"name":"Kāla","start":"05:10","end":"06:51","startHours":29.15962946033838,"endHours":30.847431386947516,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:51","end":"07:51","startHours":6.847431386947515,"endHours":7.847431386947515,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:51","end":"08:51","startHours":7.847431386947515,"endHours":8.847431386947516,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:51","end":"09:51","startHours":8.847431386947516,"endHours":9.847431386947516,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:51","end":"10:51","startHours":9.847431386947516,"endHours":10.847431386947516,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:51","end":"11:51","startHours":10.847431386947516,"endHours":11.847431386947516,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:51","end":"12:51","startHours":11.847431386947516,"endHours":12.847431386947516,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:51","end":"13:51","startHours":12.847431386947516,"endHours":13.847431386947516,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:51","end":"14:51","startHours":13.847431386947516,"endHours":14.847431386947516,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:51","end":"15:51","startHours":14.847431386947516,"endHours":15.847431386947516,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:51","end":"16:51","startHours":15.847431386947516,"endHours":16.847431386947516,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:51","end":"17:51","startHours":16.847431386947516,"endHours":17.847431386947516,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:51","end":"18:51","startHours":17.847431386947516,"endHours":18.847431386947516,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:51","end":"19:51","startHours":18.847431386947516,"endHours":19.847431386947516,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:51","end":"20:51","startHours":19.847431386947516,"endHours":20.847431386947516,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:51","end":"21:51","startHours":20.847431386947516,"endHours":21.847431386947516,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:51","end":"22:51","startHours":21.847431386947516,"endHours":22.847431386947516,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:51","end":"23:51","startHours":22.847431386947516,"endHours":23.847431386947516,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:51","end":"00:51","startHours":23.847431386947516,"endHours":24.847431386947516,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:51","end":"01:51","startHours":24.847431386947516,"endHours":25.847431386947516,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:51","end":"02:51","startHours":25.847431386947516,"endHours":26.847431386947516,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:51","end":"03:51","startHours":26.847431386947516,"endHours":27.847431386947516,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:51","end":"04:51","startHours":27.847431386947516,"endHours":28.847431386947516,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:51","end":"05:51","startHours":28.847431386947516,"endHours":29.847431386947516,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:51","end":"06:51","startHours":29.847431386947516,"endHours":30.847431386947516,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-22.871988241318057,"eotMinutes":-4.589420830658165,"ayanamsa":24.4118}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Caturthī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5},{"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":"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":[]},"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 3, 2040 CE · Ayodhyā · Vidhyamitra","description":"January 3, 2040 CE for Ayodhyā: Kṛṣṇa Caturthī, sūryodaya 06:51, sūryāsta 17:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2040-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2040-01-03","sa":"https://sa.vidhyamitra.com/city/ayodhya/2040-01-03","hi":"https://hi.vidhyamitra.com/city/ayodhya/2040-01-03","x-default":"https://vidhyamitra.com/city/ayodhya/2040-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T17:25:35.938Z","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":"2026-05-15T17:25:35.938Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T17:25:35.938Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}