{"id":"vidhyamitra:city-day:ujjain:2040-10-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/2040-10-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-10-18","date_display":"October 18, 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2040,"month":10,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466445.770833,"kali_year":5142,"ahargana":1877980.2708,"sun":{"sidereal_longitude":180.0312,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":333.712,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":153.6807,"elapsed_within_tithi_degrees":9.6807},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1,"moon_longitude":333.712,"elapsed_within_degrees":0.3786},"yoga":{"number":12,"name":"Dhruva","sum_longitude":153.7432},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":10,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466445.770833,"ahargana":1877980.2708,"kali_year":5142,"ayanamsa_lahiri":24.4229,"grahas":{"sun":{"sidereal_longitude":180.858291,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":332.989591,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false,"latitude":-3.967},"mars":{"sidereal_longitude":197.67289099999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":187.97389099999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":170.14039100000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"venus":{"sidereal_longitude":216.45079099999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":171.12519099999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":35.5678,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":215.5678,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2040,"month":10,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466445.770833,"kali_year":5142,"ahargana":1877980.2708,"sun":{"sidereal_longitude":180.0312,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":333.712,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":153.6807,"elapsed_within_tithi_degrees":9.6807},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1,"moon_longitude":333.712,"elapsed_within_degrees":0.3786},"yoga":{"number":12,"name":"Dhruva","sum_longitude":153.7432},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.967,"elongation":153.681},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.967,"opposition_distance":26.319}},"eclipse_window_40days":[{"offset_days":18,"type":"solar","occurs":true,"moon_latitude":1.132,"elongation":1.981}]},"city":{"slug":"ujjain","name":"Ujjain","lat":23.1765,"lon":75.7885,"tz_offset_hours":5.5,"state":"Madhya Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"ujjain","name":"Ujjain","lat":23.1765,"lon":75.7885,"tz_offset_hours":5.5,"state":"Madhya Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:25","sunsetLocal":"17:58","solarNoonLocal":"12:11","dayLengthHours":11.558633075563769,"dayLengthDisplay":"11 Hours 33 Mins 31 Secs","nightLengthDisplay":"12 Hours 26 Mins 29 Secs","moonriseLocal":"16:19","moonsetLocal":"04:21","rahuKala":{"name":"Rāhu Kāla","start":"13:38","end":"15:05","startHours":13.635668164391832,"endHours":15.080497298837304,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:25","end":"07:51","startHours":6.411522492164477,"endHours":7.856351626609948,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:18","end":"10:45","startHours":9.30118076105542,"endHours":10.74600989550089,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:07","end":"09:30","startHours":9.10853687646269,"endHours":9.493824645648148,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:54","end":"07:12","startHours":6.8931322036463,"endHours":7.201362418994668,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:48","end":"12:35","startHours":11.805551260760902,"endHours":12.576126799131819,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:52","end":"05:38","startHours":4.870371415422641,"endHours":5.640946953793559,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:27","end":"06:25","startHours":5.448303069200829,"endHours":6.411522492164477,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:53","startHours":14.117277875873658,"endHours":14.887853414244576,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:46","end":"18:10","startHours":17.770155567728246,"endHours":18.170155567728244,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:58","end":"18:27","startHours":17.970155567728245,"endHours":18.45176527921007,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:43","end":"19:28","startHours":17.720155567728245,"endHours":19.470155567728245,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:48","end":"00:35","startHours":23.8055512607609,"endHours":24.57612679913182,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:25","end":"07:51","startHours":6.411522492164477,"endHours":7.856351626609948,"quality":"auspicious"},{"name":"Roga","start":"07:51","end":"09:18","startHours":7.856351626609948,"endHours":9.30118076105542,"quality":"inauspicious"},{"name":"Udveg","start":"09:18","end":"10:45","startHours":9.30118076105542,"endHours":10.74600989550089,"quality":"inauspicious"},{"name":"Chala","start":"10:45","end":"12:11","startHours":10.74600989550089,"endHours":12.19083902994636,"quality":"neutral"},{"name":"Labha","start":"12:11","end":"13:38","startHours":12.19083902994636,"endHours":13.635668164391832,"quality":"auspicious"},{"name":"Amṛta","start":"13:38","end":"15:05","startHours":13.635668164391832,"endHours":15.080497298837304,"quality":"auspicious"},{"name":"Kāla","start":"15:05","end":"16:32","startHours":15.080497298837304,"endHours":16.525326433282775,"quality":"inauspicious"},{"name":"Śubha","start":"16:32","end":"17:58","startHours":16.525326433282775,"endHours":17.970155567728245,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:58","end":"19:32","startHours":17.970155567728245,"endHours":19.525326433282775,"quality":"auspicious"},{"name":"Kāla","start":"19:32","end":"21:05","startHours":19.525326433282775,"endHours":21.0804972988373,"quality":"inauspicious"},{"name":"Śubha","start":"21:05","end":"22:38","startHours":21.0804972988373,"endHours":22.63566816439183,"quality":"auspicious"},{"name":"Roga","start":"22:38","end":"00:11","startHours":22.63566816439183,"endHours":24.19083902994636,"quality":"inauspicious"},{"name":"Udveg","start":"00:11","end":"01:45","startHours":24.19083902994636,"endHours":25.74600989550089,"quality":"inauspicious"},{"name":"Chala","start":"01:45","end":"03:18","startHours":25.74600989550089,"endHours":27.30118076105542,"quality":"neutral"},{"name":"Labha","start":"03:18","end":"04:51","startHours":27.30118076105542,"endHours":28.856351626609946,"quality":"auspicious"},{"name":"Amṛta","start":"04:51","end":"06:25","startHours":28.856351626609946,"endHours":30.411522492164476,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:25","end":"07:25","startHours":6.411522492164477,"endHours":7.411522492164477,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:25","end":"08:25","startHours":7.411522492164477,"endHours":8.411522492164476,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:25","end":"09:25","startHours":8.411522492164476,"endHours":9.411522492164476,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:25","end":"10:25","startHours":9.411522492164476,"endHours":10.411522492164476,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:25","end":"11:25","startHours":10.411522492164476,"endHours":11.411522492164476,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:25","end":"12:25","startHours":11.411522492164476,"endHours":12.411522492164476,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:25","end":"13:25","startHours":12.411522492164476,"endHours":13.411522492164476,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:25","end":"14:25","startHours":13.411522492164476,"endHours":14.411522492164476,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:25","end":"15:25","startHours":14.411522492164476,"endHours":15.411522492164476,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:25","end":"16:25","startHours":15.411522492164476,"endHours":16.411522492164476,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:25","end":"17:25","startHours":16.411522492164476,"endHours":17.411522492164476,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:25","end":"18:25","startHours":17.411522492164476,"endHours":18.411522492164476,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:25","end":"19:25","startHours":18.411522492164476,"endHours":19.411522492164476,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:25","end":"20:25","startHours":19.411522492164476,"endHours":20.411522492164476,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:25","end":"21:25","startHours":20.411522492164476,"endHours":21.411522492164476,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:25","end":"22:25","startHours":21.411522492164476,"endHours":22.411522492164476,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:25","end":"23:25","startHours":22.411522492164476,"endHours":23.411522492164476,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:25","end":"00:25","startHours":23.411522492164476,"endHours":24.411522492164476,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:25","end":"01:25","startHours":24.411522492164476,"endHours":25.411522492164476,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:25","end":"02:25","startHours":25.411522492164476,"endHours":26.411522492164476,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:25","end":"03:25","startHours":26.411522492164476,"endHours":27.411522492164476,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:25","end":"04:25","startHours":27.411522492164476,"endHours":28.411522492164476,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:25","end":"05:25","startHours":28.411522492164476,"endHours":29.411522492164476,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:25","end":"06:25","startHours":29.411522492164476,"endHours":30.411522492164476,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-9.77944914949677,"eotMinutes":15.395658203218455,"ayanamsa":24.4229}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Trayodaśī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi_ingress":"Tulā"},"precedence":5},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Dedicated festival walk for Tulā Saṅkrānti · Pradoṣa Vrata is not live yet; Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"ujjain"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 18, 2040 CE · Ujjain · Vidhyamitra","description":"October 18, 2040 CE for Ujjain: Śukla Trayodaśī, sūryodaya 06:25, sūryāsta 17:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/2040-10-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/2040-10-18","sa":"https://sa.vidhyamitra.com/city/ujjain/2040-10-18","hi":"https://hi.vidhyamitra.com/city/ujjain/2040-10-18","x-default":"https://vidhyamitra.com/city/ujjain/2040-10-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T16:48:27.544Z","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":"2026-09-11T16:48:27.544Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T16:48:27.544Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}