{"id":"vidhyamitra:city-day:agra:2042-01-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/agra/2042-01-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2042-01-07","date_display":"January 7, 2042 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":2042,"month":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466891.770833,"kali_year":5143,"ahargana":1878426.2708,"sun":{"sidereal_longitude":262.1309,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":92.0884,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":189.9575,"elapsed_within_tithi_degrees":9.9575},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":92.0884,"elapsed_within_degrees":12.0884},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":354.2194},"karana":{"half_tithi_index":31,"name":"Kaulava"},"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":2042,"month":1,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466891.770833,"ahargana":1878426.2708,"kali_year":5143,"ayanamsa_lahiri":24.44,"grahas":{"sun":{"sidereal_longitude":262.413451,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":90.24505099999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false,"latitude":4.4336},"mars":{"sidereal_longitude":121.95885099999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":280.42235099999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":210.74115099999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":263.15415099999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":190.10675100000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":11.9366,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":191.9366,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","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":"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":2042,"month":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466891.770833,"kali_year":5143,"ahargana":1878426.2708,"sun":{"sidereal_longitude":262.1309,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":92.0884,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":189.9575,"elapsed_within_tithi_degrees":9.9575},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":92.0884,"elapsed_within_degrees":12.0884},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":354.2194},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.434,"elongation":170.043},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.434,"opposition_distance":9.957}},"eclipse_window_40days":[]},"city":{"slug":"agra","name":"Agra, Uttar Pradesh","lat":27.1767,"lon":78.0081,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"agra","name":"Agra, Uttar Pradesh","lat":27.1767,"lon":78.0081,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"sunriseLocal":"07:09","sunsetLocal":"17:40","solarNoonLocal":"12:24","dayLengthHours":10.511069222119644,"dayLengthDisplay":"10 Hours 30 Mins 40 Secs","nightLengthDisplay":"13 Hours 29 Mins 20 Secs","moonriseLocal":"18:07","moonsetLocal":"07:44","rahuKala":{"name":"Rāhu Kāla","start":"15:02","end":"16:21","startHours":15.032095210653573,"endHours":16.345978863418527,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:47","end":"11:05","startHours":9.77656059959375,"endHours":11.090444252358704,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:24","end":"13:43","startHours":12.404327905123662,"endHours":13.718211557888615,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:36","end":"09:57","startHours":9.601376112558423,"endHours":9.951745086629078,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:52","startHours":7.586754511652157,"endHours":7.867049690908681,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:45","startHours":12.053958931053007,"endHours":12.754696879194316,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:27","startHours":5.747317397781219,"endHours":6.448055345922529,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:09","startHours":6.2728708588872015,"endHours":7.148793294063839,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:51","startHours":14.156172775476936,"endHours":14.856910723618245,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:28","end":"17:52","startHours":17.459862516183485,"endHours":17.859862516183483,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:40","end":"18:06","startHours":17.659862516183484,"endHours":18.097823733771804,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:25","end":"19:10","startHours":17.409862516183484,"endHours":19.159862516183484,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:45","startHours":24.053958931053007,"endHours":24.754696879194316,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:09","end":"08:28","startHours":7.148793294063839,"endHours":8.462676946828793,"quality":"inauspicious"},{"name":"Udveg","start":"08:28","end":"09:47","startHours":8.462676946828793,"endHours":9.77656059959375,"quality":"inauspicious"},{"name":"Chala","start":"09:47","end":"11:05","startHours":9.77656059959375,"endHours":11.090444252358704,"quality":"neutral"},{"name":"Labha","start":"11:05","end":"12:24","startHours":11.090444252358704,"endHours":12.404327905123662,"quality":"auspicious"},{"name":"Amṛta","start":"12:24","end":"13:43","startHours":12.404327905123662,"endHours":13.718211557888615,"quality":"auspicious"},{"name":"Kāla","start":"13:43","end":"15:02","startHours":13.718211557888615,"endHours":15.032095210653573,"quality":"inauspicious"},{"name":"Śubha","start":"15:02","end":"16:21","startHours":15.032095210653573,"endHours":16.345978863418527,"quality":"auspicious"},{"name":"Roga","start":"16:21","end":"17:40","startHours":16.345978863418527,"endHours":17.659862516183484,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:40","end":"19:21","startHours":17.659862516183484,"endHours":19.34597886341853,"quality":"inauspicious"},{"name":"Śubha","start":"19:21","end":"21:02","startHours":19.34597886341853,"endHours":21.032095210653573,"quality":"auspicious"},{"name":"Roga","start":"21:02","end":"22:43","startHours":21.032095210653573,"endHours":22.718211557888615,"quality":"inauspicious"},{"name":"Udveg","start":"22:43","end":"00:24","startHours":22.718211557888615,"endHours":24.40432790512366,"quality":"inauspicious"},{"name":"Chala","start":"00:24","end":"02:05","startHours":24.40432790512366,"endHours":26.090444252358708,"quality":"neutral"},{"name":"Labha","start":"02:05","end":"03:47","startHours":26.090444252358708,"endHours":27.77656059959375,"quality":"auspicious"},{"name":"Amṛta","start":"03:47","end":"05:28","startHours":27.77656059959375,"endHours":29.462676946828793,"quality":"auspicious"},{"name":"Kāla","start":"05:28","end":"07:09","startHours":29.462676946828793,"endHours":31.14879329406384,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.148793294063839,"endHours":8.14879329406384,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.14879329406384,"endHours":9.14879329406384,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.14879329406384,"endHours":10.14879329406384,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.14879329406384,"endHours":11.14879329406384,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.14879329406384,"endHours":12.14879329406384,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.14879329406384,"endHours":13.14879329406384,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.14879329406384,"endHours":14.14879329406384,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.14879329406384,"endHours":15.14879329406384,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.14879329406384,"endHours":16.14879329406384,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.14879329406384,"endHours":17.14879329406384,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.14879329406384,"endHours":18.14879329406384,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.14879329406384,"endHours":19.14879329406384,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.14879329406384,"endHours":20.14879329406384,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.14879329406384,"endHours":21.14879329406384,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.14879329406384,"endHours":22.14879329406384,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.14879329406384,"endHours":23.14879329406384,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.14879329406384,"endHours":24.14879329406384,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.14879329406384,"endHours":25.14879329406384,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.14879329406384,"endHours":26.14879329406384,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.14879329406384,"endHours":27.14879329406384,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.14879329406384,"endHours":28.14879329406384,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.14879329406384,"endHours":29.14879329406384,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.14879329406384,"endHours":30.14879329406384,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.14879329406384,"endHours":31.14879329406384,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"Lumba","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.37392809731226,"eotMinutes":-6.292074307419696,"ayanamsa":24.44}},"calendars":{"vikram_samvat":2099,"vikram_samvatsara":"Yuva","saka_samvat":1964,"saka_samvatsara":"Dundubhi","bengali_samvat":1449,"malayalam_era":1218,"nanakshahi_year":573,"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":"Dhanus (Mārgaḻi)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Pratipada · Vikram 2099 Yuva · Śaka 1964 Dundubhi"},"festivals":[],"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":"agra"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 7, 2042 CE · Agra, Uttar Pradesh · Vidhyamitra","description":"January 7, 2042 CE for Agra, Uttar Pradesh: Kṛṣṇa Pratipada, sūryodaya 07:09, sūryāsta 17:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/agra/2042-01-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/agra/2042-01-07","sa":"https://sa.vidhyamitra.com/city/agra/2042-01-07","hi":"https://hi.vidhyamitra.com/city/agra/2042-01-07","x-default":"https://vidhyamitra.com/city/agra/2042-01-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T11:51:12.757Z","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":"2026-08-10T11:51:12.757Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T11:51:12.757Z","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":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"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"}}}