{"id":"vidhyamitra:city-day:tokyo:2026-10-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/tokyo/2026-10-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2026-10-31","date_display":"October 31, 2026 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":2026,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461344.770833,"kali_year":5128,"ahargana":1872879.2708,"sun":{"sidereal_longitude":192.6445,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":76.1304,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":243.4859,"elapsed_within_tithi_degrees":3.4859},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":76.1304,"elapsed_within_degrees":9.4637},"yoga":{"number":21,"name":"Siddha","sum_longitude":268.7749},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2026,"month":10,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2461344.770833,"ahargana":1872879.2708,"kali_year":5128,"ayanamsa_lahiri":24.2278,"grahas":{"sun":{"sidereal_longitude":193.398187,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":79.59688699999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false,"latitude":3.4312},"mars":{"sidereal_longitude":113.560787,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":203.31518700000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":119.76158699999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":182.18788700000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":345.163987,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":305.8433,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":125.8433,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2026,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461344.770833,"kali_year":5128,"ahargana":1872879.2708,"sun":{"sidereal_longitude":192.6445,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":76.1304,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":243.4859,"elapsed_within_tithi_degrees":3.4859},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":76.1304,"elapsed_within_degrees":9.4637},"yoga":{"number":21,"name":"Siddha","sum_longitude":268.7749},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.431,"elongation":116.514},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.431,"opposition_distance":63.486}},"eclipse_window_40days":[]},"city":{"slug":"tokyo","name":"Tokyo, Japan","lat":35.6762,"lon":139.6503,"tz_offset_hours":9,"country":"JP","tier":"diaspora"},"tier2":{"city":{"slug":"tokyo","name":"Tokyo, Japan","lat":35.6762,"lon":139.6503,"tz_offset_hours":9,"country":"JP","tier":"diaspora"},"sunriseLocal":"06:02","sunsetLocal":"16:48","solarNoonLocal":"11:25","dayLengthHours":10.762673784549115,"dayLengthDisplay":"10 Hours 45 Mins 46 Secs","nightLengthDisplay":"13 Hours 14 Mins 14 Secs","moonriseLocal":"20:36","moonsetLocal":"11:03","rahuKala":{"name":"Rāhu Kāla","start":"08:44","end":"10:04","startHours":8.725098561353919,"endHours":10.070432784422557,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:46","end":"14:06","startHours":12.761101230559838,"endHours":14.106435453628476,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:02","end":"07:23","startHours":6.03443011521664,"endHours":7.37976433828528,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:33","end":"08:54","startHours":8.545720664944767,"endHours":8.90447645776307,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:29","end":"06:46","startHours":6.48287485623952,"endHours":6.769879490494163,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:03","end":"11:46","startHours":11.057011214672894,"endHours":11.774522800309501,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:36","end":"05:19","startHours":4.599406943943425,"endHours":5.3169185295800325,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:08","end":"06:02","startHours":5.137540633170881,"endHours":6.03443011521664,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:13","end":"13:56","startHours":13.209545971582717,"endHours":13.927057557219324,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:36","end":"17:00","startHours":16.597103899765756,"endHours":16.997103899765754,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:48","end":"17:15","startHours":16.797103899765755,"endHours":17.245548640788634,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:33","end":"18:18","startHours":16.547103899765755,"endHours":18.297103899765755,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:03","end":"23:46","startHours":23.057011214672894,"endHours":23.7745228003095,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:02","end":"07:23","startHours":6.03443011521664,"endHours":7.37976433828528,"quality":"inauspicious"},{"name":"Śubha","start":"07:23","end":"08:44","startHours":7.37976433828528,"endHours":8.725098561353919,"quality":"auspicious"},{"name":"Roga","start":"08:44","end":"10:04","startHours":8.725098561353919,"endHours":10.070432784422557,"quality":"inauspicious"},{"name":"Udveg","start":"10:04","end":"11:25","startHours":10.070432784422557,"endHours":11.415767007491198,"quality":"inauspicious"},{"name":"Chala","start":"11:25","end":"12:46","startHours":11.415767007491198,"endHours":12.761101230559838,"quality":"neutral"},{"name":"Labha","start":"12:46","end":"14:06","startHours":12.761101230559838,"endHours":14.106435453628476,"quality":"auspicious"},{"name":"Amṛta","start":"14:06","end":"15:27","startHours":14.106435453628476,"endHours":15.451769676697115,"quality":"auspicious"},{"name":"Kāla","start":"15:27","end":"16:48","startHours":15.451769676697115,"endHours":16.797103899765755,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"16:48","end":"18:27","startHours":16.797103899765755,"endHours":18.451769676697115,"quality":"auspicious"},{"name":"Amṛta","start":"18:27","end":"20:06","startHours":18.451769676697115,"endHours":20.106435453628478,"quality":"auspicious"},{"name":"Kāla","start":"20:06","end":"21:46","startHours":20.106435453628478,"endHours":21.761101230559838,"quality":"inauspicious"},{"name":"Śubha","start":"21:46","end":"23:25","startHours":21.761101230559838,"endHours":23.415767007491198,"quality":"auspicious"},{"name":"Roga","start":"23:25","end":"01:04","startHours":23.415767007491198,"endHours":25.070432784422557,"quality":"inauspicious"},{"name":"Udveg","start":"01:04","end":"02:44","startHours":25.070432784422557,"endHours":26.725098561353917,"quality":"inauspicious"},{"name":"Chala","start":"02:44","end":"04:23","startHours":26.725098561353917,"endHours":28.37976433828528,"quality":"neutral"},{"name":"Labha","start":"04:23","end":"06:02","startHours":28.37976433828528,"endHours":30.03443011521664,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:02","end":"07:02","startHours":6.03443011521664,"endHours":7.03443011521664,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:02","end":"08:02","startHours":7.03443011521664,"endHours":8.03443011521664,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:02","end":"09:02","startHours":8.03443011521664,"endHours":9.03443011521664,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:02","end":"10:02","startHours":9.03443011521664,"endHours":10.03443011521664,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:02","end":"11:02","startHours":10.03443011521664,"endHours":11.03443011521664,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:02","end":"12:02","startHours":11.03443011521664,"endHours":12.03443011521664,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:02","end":"13:02","startHours":12.03443011521664,"endHours":13.03443011521664,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:02","end":"14:02","startHours":13.03443011521664,"endHours":14.03443011521664,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:02","end":"15:02","startHours":14.03443011521664,"endHours":15.03443011521664,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:02","end":"16:02","startHours":15.03443011521664,"endHours":16.03443011521664,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:02","end":"17:02","startHours":16.03443011521664,"endHours":17.03443011521664,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:02","end":"18:02","startHours":17.03443011521664,"endHours":18.03443011521664,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:02","end":"19:02","startHours":18.03443011521664,"endHours":19.03443011521664,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:02","end":"20:02","startHours":19.03443011521664,"endHours":20.03443011521664,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:02","end":"21:02","startHours":20.03443011521664,"endHours":21.03443011521664,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:02","end":"22:02","startHours":21.03443011521664,"endHours":22.03443011521664,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:02","end":"23:02","startHours":22.03443011521664,"endHours":23.03443011521664,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:02","end":"00:02","startHours":23.03443011521664,"endHours":24.03443011521664,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:02","end":"01:02","startHours":24.03443011521664,"endHours":25.03443011521664,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:02","end":"02:02","startHours":25.03443011521664,"endHours":26.03443011521664,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:02","end":"03:02","startHours":26.03443011521664,"endHours":27.03443011521664,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:02","end":"04:02","startHours":27.03443011521664,"endHours":28.03443011521664,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:02","end":"05:02","startHours":28.03443011521664,"endHours":29.03443011521664,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:02","end":"06:02","startHours":29.03443011521664,"endHours":30.03443011521664,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-14.05288769431731,"eotMinutes":16.45277955052819,"ayanamsa":24.2278}},"calendars":{"vikram_samvat":2083,"vikram_samvatsara":"Siddhārthī","saka_samvat":1948,"saka_samvatsara":"Parābhava","bengali_samvat":1433,"malayalam_era":1202,"nanakshahi_year":557,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","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":"Kārtika Kṛṣṇa Ṣaṣṭhī · Vikram 2083 Siddhārthī · Śaka 1948 Parābhava"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"tokyo"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 31, 2026 CE · Tokyo, Japan · Vidhyamitra","description":"October 31, 2026 CE for Tokyo, Japan: Kṛṣṇa Ṣaṣṭhī, sūryodaya 06:02, sūryāsta 16:48.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/tokyo/2026-10-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/tokyo/2026-10-31","sa":"https://sa.vidhyamitra.com/city/tokyo/2026-10-31","hi":"https://hi.vidhyamitra.com/city/tokyo/2026-10-31","x-default":"https://vidhyamitra.com/city/tokyo/2026-10-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-07-23T18:08:14.044Z","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":"2026-07-23T18:08:14.044Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-07-23T18:08:14.044Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no founder-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","Divyāṁśa-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"}}}